Motohiro Sobajima

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All published works

Action	Title	Year	Authors
+	Domain characterization for Schrödinger operators with sub-quadratic singularity	2025	Giorgio Metafune Motohiro Sobajima
+ PDF Chat	Appearance of Strauss-type exponent in semilinear wave equations with time-dependent speed of propagation	2024	Motohiro Sobajima Kimitoshi Tsutaya Yuta Wakasugi
+	Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain	2024	Masahiro Ikeda Motohiro Sobajima Koichi Taniguchi Yuta Wakasugi
+ PDF Chat	Asymptotic expansion for a class of second-order evolution equations in the energy space and its applications	2024	Motohiro Sobajima
+ PDF Chat	Domain characterization for Schr\"odinger operators with sub-quadratic singularity	2024	Giorgio Metafune Motohiro Sobajima
+	The effect of inhomogeneous terms for asymptotic profiles of solutions to second-order abstract evolution equations with time-dependent dissipation	2024	Motohiro Sobajima
+ PDF Chat	Optimal decay for one-dimensional damped wave equations with potentials via a variant of Nash inequality	2024	Motohiro Sobajima
+ PDF Chat	Weighted energy method for semilinear wave equations with time-dependent damping	2023	Motohiro Sobajima
+ PDF Chat	Asymptotic expansion of solutions to the wave equation with space-dependent damping	2023	Motohiro Sobajima Yuta Wakasugi
+ PDF Chat	Singular limit problem of abstract second order evolution equations	2023	Ryo Ikehata Motohiro Sobajima
+ PDF Chat	Asymptotic behavior for wave equations with space-dependent damping in a weighted energy class	2023	Motohiro Sobajima
+	Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain	2023	Masahiro Ikeda Motohiro Sobajima Koichi Taniguchi Yuta Wakasugi
+	Optimal decay for one-dimensional damped wave equations with potentials via a variant of Nash inequality	2023	Motohiro Sobajima
+ PDF Chat	On global existence for semilinear wave equations with space-dependent critical damping	2022	Motohiro Sobajima
+	Higher-order asymptotic expansion for abstract linear second-order differential equations with time-dependent coefficients	2022	Motohiro Sobajima
+	Asymptotic expansion of solutions to the wave equation with space-dependent damping	2022	Motohiro Sobajima Yuta Wakasugi
+	Life-span of Blowup Solutions to Semilinear Wave Equation with Space-dependent Critical Damping	2021	Masahiro Ikeda Motohiro Sobajima
+	Global existence of solutions to a weakly coupled critical parabolic system in two-dimensional exterior domains	2021	Motohiro Sobajima
+ PDF Chat	Supersolutions for parabolic equations with unbounded or degenerate diffusion coefficients and their applications to some classes of parabolic and hyperbolic equations	2021	Motohiro Sobajima Yuta Wakasugi
+	On global existence for semilinear wave equations with spacedependent critical damping	2021	Motohiro Sobajima
+ PDF Chat	Blow-up for Strauss type wave equation with damping and potential	2020	Wei Dai Hideo Kubo Motohiro Sobajima
+	Errata corrige. Elliptic and parabolic problems for a class of operators with discontinuous coefficients	2020	Giorgio Metafune Motohiro Sobajima Chiara Spina
+	On test function method for semilinear wave equations with scale-invariant damping (Recent trends in ordinary differential equations and their developments)	2020	Motohiro Sobajima
+ PDF Chat	Higher order asymptotic expansion of solutions to abstract linear hyperbolic equations	2020	Motohiro Sobajima
+ PDF Chat	Lifespan of Solutions to Nonlinear Schrödinger Equations with General Homogeneous Nonlinearity of the Critical Order	2020	Hayato Miyazaki Motohiro Sobajima
+ PDF Chat	Rellich inequalities in bounded domains	2019	Giorgio Metafune Luigi Negro Motohiro Sobajima Chiara Spina
+	Finite time blowup of solutions to semilinear wave equation in an exterior domain	2019	Motohiro Sobajima Kyouhei Wakasa
+	Global existence of solutions to semilinear damped wave equation with slowly decaying initial data in exterior domain	2019	Motohiro Sobajima
+ PDF Chat	Sharp lifespan estimates of blowup solutions to semi-linear wave equations with time-dependent effective damping	2019	Masahiro Ikeda Motohiro Sobajima Yuta Wakasugi
+	Supersolutions for parabolic equations with unbounded diffusion and its applications to some classes of parabolic and hyperbolic equations	2019	Motohiro Sobajima Yuta Wakasugi
+	Remarks on test function methods for blowup of solutions to semilinear evolution equations in sectorial domain (Theoretical Developments to Phenomenon Analyses based on Nonlinear Evolution Equations)	2019	Motohiro Sobajima
+	Elliptic and parabolic problems for a class of operators with discontinuous coefficients	2019	Giorgio Metafune Motohiro Sobajima Chiara Spina
+	Blow-up phenomena of semilinear wave equations and their weakly coupled systems	2019	Masahiro Ikeda Motohiro Sobajima Kyouhei Wakasa
+	Rellich inequalities in bounded domains	2019	Giorgio Metafune Luigi Negro Motohiro Sobajima Chiara Spina
+	Singular limit problem of abstract second order evolution equations	2019	Ryo Ikehata Motohiro Sobajima
+	Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method	2018	Masahiro Ikeda Motohiro Sobajima
+ PDF Chat	Critical exponent for the semilinear wave equations with a damping increasing in the far field	2018	Kenji Nishihara Motohiro Sobajima Yuta Wakasugi
+	Remark on upper bound for lifespan of solutions to semilinear evolution equations in a two-dimensional exterior domain	2018	Masahiro Ikeda Motohiro Sobajima
+	Sharp lifespan estimates of blowup solutions to semilinear wave equations with time-dependent effective damping	2018	Masahiro Ikeda Motohiro Sobajima Yuta Wakasugi
+ PDF Chat	Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity	2018	Motohiro Sobajima Yuta Wakasugi
+ PDF Chat	Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data	2018	Motohiro Sobajima Yuta Wakasugi
+ PDF Chat	Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data	2018	Masahiro Ikeda Motohiro Sobajima
+	L<sup><em>p</em></sup>-analysis of one-dimensional repulsive Hamiltonian with a class of perturbations	2018	Motohiro Sobajima Kentarou Yoshii
+	Finite time blowup of solutions to semilinear wave equation in an exterior domain	2018	Motohiro Sobajima Kyouhei Wakasa
+	Global existence of solutions to semilinear damped wave equation with slowly decaying inital data in exterior domain	2018	Motohiro Sobajima
+	An elementary proof of asymptotic behavior of solutions	2017	Motohiro Sobajima Giorgio Metafune
+	Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity	2017	Motohiro Sobajima Yuta Wakasugi
+	Life-span of blowup solutions to semilinear wave equation with space-dependent critical damping	2017	Masahiro Ikeda Motohiro Sobajima
+	Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data	2017	Masahiro Ikeda Motohiro Sobajima
+	Upper bound for lifespan of solutions to certain semilinear parabolic, dispersive and hyperbolic equations via a unified test function method	2017	Masahiro Ikeda Motohiro Sobajima
+	Remark on upper bound for lifespan of solutions to semilinear evolution equations in a two-dimensional exterior domain	2017	Masahiro Ikeda Motohiro Sobajima
+	Kernel estimates for elliptic operators with second-order discontinuous coefficients	2016	Giorgio Metafune Motohiro Sobajima Chiara Spina
+	Diffusion phenomena for the wave equation with space-dependent damping in an exterior domain	2016	Motohiro Sobajima Yuta Wakasugi
+	Spectral properties of operators obtained by localization methods	2016	Giorgio Metafune Motohiro Sobajima Chiara Spina
+	Remarks on higher-order weighted Rellich inequalities in $L^p$	2016	Motohiro Sobajima
+ PDF Chat	Scale invariant elliptic operators with singular coefficients	2016	Giorgio Metafune Noboru Okazawa Motohiro Sobajima Chiara Spina
+ PDF Chat	Spectral Properties of Non-Selfadjoint Extensions of the Calogero Hamiltonian	2016	Giorgio Metafune Motohiro Sobajima
+	Remarks on an elliptic problem arising in weighted energy estimates for wave equations with space-dependent damping term in an exterior domain	2016	Motohiro Sobajima Yuta Wakasugi
+	Solvability of a class of complex Ginzburg-Landau equations in periodic Sobolev spaces	2015	Kentarou Yoshii Tomomi Yokota Toshiyuki Suzuki Motohiro Sobajima Yuta Kugo
+	Solvability of a class of complex Ginzburg-Landau equations in periodic Sobolev spaces	2015	Kentarou Yoshii Tomomi Yokota Toshiyuki Suzuki Motohiro Sobajima Yuta Kugo
+	Solvability of a class of complex Ginzburg-Landau equations in periodic Sobolev spaces	2015	Kentarou Yoshii Tomomi Yokota Toshiyuki Suzuki Motohiro Sobajima Yuta Kugo
+ PDF Chat	Rellich and Calderón–Zygmund inequalities for an operator with discontinuous coefficients	2015	Giorgio Metafune Motohiro Sobajima Chiara Spina
+	Non-uniqueness for second order elliptic operators	2015	Giorgio Metafune Motohiro Sobajima Chiara Spina
+	Lp–Lq estimates for homogeneous operators	2015	Norisuke Ioku Giorgio Metafune Motohiro Sobajima Chiara Spina
+	Hardy inequalities for functions vanishing at negligible sets and its applications	2015	Motohiro Sobajima Shuji Watanabe
+	Second order elliptic operators with diffusion coefficients growing as \|<i>x</i>\|<sup>α</sup> at infinity	2015	Motohiro Sobajima Chiara Spina
+	Maximal sector of analyticity for -semigroups generated by elliptic operators with separation property in	2014	Giorgio Metafune Noboru Okazawa Motohiro Sobajima Tomomi Yokota
+	Weighted Calderón–Zygmund and Rellich inequalities in $$L^p$$ L p	2014	Giorgio Metafune Motohiro Sobajima Chiara Spina
+	A class of relatively bounded perturbations for generators of bounded analytic semigroups in Banach spaces	2014	Motohiro Sobajima
+	Existence of solutions to heat equations with singular lower order terms	2014	Noboru Okazawa Motohiro Sobajima Tomomi Yokota
+	L p -theory for second-order elliptic operators with unbounded coefficients in an endpoint class	2014	Motohiro Sobajima
+	An elementary proof of asymptotic behavior of solutions of $u"=Vu$	2014	Giorgio Metafune Motohiro Sobajima
+	On the threshold for Kato's selfadjointness problem and its $L^p$-generalization	2014	Motohiro Sobajima
+	Scale invariant elliptic operators with singular coefficients	2014	Giorgio Metafune Noboru Okazawa Motohiro Sobajima Chiara Spina
+	L p -Theory for Schrödinger Operators Perturbed by Singular Drift Terms	2014	Noboru Okazawa Motohiro Sobajima
+	$L^p$-theory for second-order elliptic operators with unbounded drift (New developments of the theory of evolution equations in the analysis of non-equilibria)	2013	Motohiro Sobajima
+	A direct approach to generation of analytic semigroups by generalized Ornstein–Uhlenbeck operators in weighted<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si16.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>spaces	2013	Motohiro Sobajima Tomomi Yokota
+	Landau-Lifshitz's conjecture about the motion of a quantum mechanical particle under the inverse square potential	2013	Motohiro Sobajima Shuji Watanabe
+	Weighted Calderon-Zygmund and Rellich inequalities in L^p	2013	Giorgio Metafune Motohiro Sobajima Chiara Spina
+	L p -theory for second-order elliptic operators with unbounded coefficients	2012	Motohiro Sobajima
+	A simple approach to the Cauchy problem for complex Ginzburg–Landau equations by compactness methods	2012	Philippe Clément Noboru Okazawa Motohiro Sobajima Tomomi Yokota
+	Remark on One Dimensional Semilinear Damped Wave Equation in a Critical Weighted L 2-space	2012	Motohiro Sobajima Yuta Wakasugi

Common Coauthors

Coauthor	Papers Together
Giorgio Metafune	19
Yuta Wakasugi	16
Chiara Spina	14
Masahiro Ikeda	11
Tomomi Yokota	7
Noboru Okazawa	6
Kyouhei Wakasa	3
Kentarou Yoshii	3
Yuta Kugo	3
Toshiyuki Suzuki	2
Ryo Ikehata	2
Shuji Watanabe	2
Luigi Negro	2
Koichi Taniguchi	2
Masahiro Ikeda	2
Wei Dai	1
Kentarou Yoshii	1
Norisuke Ioku	1
Toshiyuki Suzuki	1
Philippe Clément	1
Hideo Kubo	1
Kenji Nishihara	1
Kimitoshi Tsutaya	1
Hayato Miyazaki	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Critical Exponent for a Nonlinear Wave Equation with Damping	2001	Grozdena Todorova Borislav Yordanov	17
+ PDF Chat	On the Asymptotic Behavior of Solutions of Semi-linear Wave Equations	1976	Akitaka Matsumura	13
+	L p -L q estimates of solutions to the damped wave equation in 3-dimensional space and their application	2003	Kenji Nishihara	12
+ PDF Chat	L<sup>p</sup>-theory of Schrödinger operators with strongly singular potentials	1996	Noboru Okazawa	11
+ PDF Chat	Selfsimilar profiles in large time asymptotics of solutions to damped wave equations	2000	Grzegorz Karch	11
+	A blow-up result for a nonlinear wave equation with damping: The critical case	2001	Qi S. Zhang	11
+	Semigroups of Linear Operators and Applications to Partial Differential Equations	1983	A. Pazy	11
+	On the diffusion phenomenonof quasilinear hyperbolic waves	2000	Han Yang Albert Milani	11
+	An optimal estimate for the difference of solutions of two abstract evolution equations	2003	Ralph Chill Alain Haraux	10
+ PDF Chat	Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data	2018	Motohiro Sobajima Yuta Wakasugi	10
+ PDF Chat	One-parameter semigroups for linear evolution equations	2001	Klaus‐Jochen Engel Rainer Nagel	10
+	Special Functions	2010	Richard Beals Roderick Wong	10
+	Critical exponent for the semilinear wave equation with time-dependent damping	2012	Jian Zhai Kenji Nishihara Jiayun Lin	9
+	Finite time blow up for critical wave equations in high dimensions	2005	Borislav Yordanov Qi S. Zhang	9
+ PDF Chat	Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping	1992	Ling Hsiao Tai-Ping Liu	9
+ PDF Chat	The heat equation with a singular potential	1984	Pierre Baras Jerome A. Goldstein	9
+	Diffusion phenomena for the wave equation with space-dependent damping in an exterior domain	2016	Motohiro Sobajima Yuta Wakasugi	9
+ PDF Chat	On diffusion phenomena for the linear wave equation with space-dependent damping	2014	Yuta Wakasugi	9
+	Scattering Theory for Wave Equations with Dissipative Terms	1976	Kiyoshi Mochizuki	8
+	Diffusion phenomenon for linear dissipative wave equations in an exterior domain	2002	Ryo Ikehata	8
+	Higher order energy decay rates for damped wave equations with variable coefficients	2009	Petronela Radu Grozdena Todorova Borislav Yordanov	8
+ PDF Chat	Mixed problems for hyperbolic equations of second order	1968	Mitsuru Ikawa	8
+	Scaling Variables and Asymptotic Expansions in Damped Wave Equations	1998	Th. Gallay G. Raugel	8
+ PDF Chat	Weighted <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>-estimates for dissipative wave equations with variable coefficients	2009	Grozdena Todorova Borislav Yordanov	8
+ PDF Chat	Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data	2018	Masahiro Ikeda Motohiro Sobajima	8
+	Remarks on an elliptic problem arising in weighted energy estimates for wave equations with space-dependent damping term in an exterior domain	2016	Motohiro Sobajima Yuta Wakasugi	8
+ PDF Chat	Blow Up of Solutions to Semilinear Wave Equations with Critical Exponent in High Dimensions*	2007	Yi Zhou	8
+	Decay estimates for wave equations with variable coefficients	2009	Petronela Radu Grozdena Todorova Borislav Yordanov	7
+	Functional Analysis, Sobolev Spaces and Partial Differential Equations	2010	Haı̈m Brezis	7
+ PDF Chat	Diffusion phenomenon for second order linear evolution equations	2003	Ryo Ikehata Kenji Nishihara	7
+	Explicit constants for Rellich inequalities in $L_p(\Omega)$	1998	E. B. Davies Andreas M. Hinz	7
+ PDF Chat	The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions	2011	Hiroyuki Takamura Kyouhei Wakasa	7
+	Lifespan of solutions to the damped wave equation with a critical nonlinearity	2016	Masahiro Ikeda Takayoshi Ogawa	7
+ PDF Chat	Life-Span of Solutions to Critical Semilinear Wave Equations	2013	Yi Zhou Wei Han	7
+ PDF Chat	Asymptotic behavior for abstract wave equations with decaying dissipation	2006	Taeko Yamazaki	7
+	Weighted Calderón–Zygmund and Rellich inequalities in $$L^p$$ L p	2014	Giorgio Metafune Motohiro Sobajima Chiara Spina	7
+	The Generalized Diffusion Phenomenon and Applications	2016	Petronela Radu Grozdena Todorova Borislav Yordanov	7
+	The sharp lifespan estimate for semilinear damped wave equation with Fujita critical power in higher dimensions	2018	N. Lai Yi Zhou	7
+	Nonlinear scattering theory at low energy	1981	Walter A. Strauss	7
+ PDF Chat	A degenerate elliptic operator with unbounded diffusion coefficients	2014	Giorgio Metafune Chiara Spina	7
+	Remarks on the asymptotic behavior of the solution to damped wave equations	2016	Hisashi Nishiyama	7
+	Two dimensional exterior mixed problem for semilinear damped wave equations	2004	Ryo Ikehata	6
+ PDF Chat	Solution representations for a wave equation with weak dissipation	2003	Jens Wirth	6
+	Global Existence and Smoothing Effect for the Complex Ginzburg–Landau Equation with p-Laplacian	2002	Noboru Okazawa Tomomi Yokota	6
+	Global existence of solutions for semilinear damped wave equations in R with noncompactly supported initial data	2005	Ryo Ikehata Kensuke Tanizawa	6
+	An Introduction to Semilinear Evolution Equations	1998	Thierry Cazenave Alain Haraux Yvan Martel	6
+ PDF Chat	On nonexistence of global solutions of some semilinear parabolic differential equations	1973	Kantaro Hayakawa	6
+	Heat Kernels and Spectral Theory	1989	E. B. Davies	6
+	Optimal decay rate of the energy for wave equations with critical potential	2013	Ryo Ikehata Grozdena Todorova Borislav Yordanov	6
+ PDF Chat	On the growing up problem for semilinear heat equations	1977	Kusuo Kobayashi Tunekiti Sirao Hiroshi Tanaka	6