Kazumasa Fujiwara

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All published works
Action Title Year Authors
+ PDF Chat Lifespan estimates for 1d damped wave equation with zero moment initial data 2024 Kazumasa Fujiwara
Vladimir Georgiev
+ PDF Chat A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations 2023 Kazumasa Fujiwara
Vladimir Georgiev
+ Lifespan estimates for 1d damped wave equation with zero moment initial data 2023 Kazumasa Fujiwara
Vladimir Georgiev
+ PDF Chat Note on the lifespan estimate of solutions for non-gauge invariant semilinear massless semirelativistic equations with some scaling critical nonlinearity 2022 Kazumasa Fujiwara
+ On extended lifespan for 1d damped wave equation 2022 Kazumasa Fujiwara
Vladimir Georgiev
+ On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping 2021 Kazumasa Fujiwara
Masahiro Ikeda
Yuta Wakasugi
+ PDF Chat On global existence of <i>L</i>2 solutions for 1D periodic NLS with quadratic nonlinearity 2021 Kazumasa Fujiwara
Vladimir Georgiev
+ Lifespan estimates of 1D non-gauge invariant semilinear semirelativistic equations 2021 Kazumasa Fujiwara
+ Remark on the Chain rule of fractional derivative in the Sobolev framework 2021 Kazumasa Fujiwara
+ PDF Chat Remark on the Chain rule of fractional derivative in the Sobolev framework 2021 Kazumasa Fujiwara
+ Blow-up for periodic non-gauge invariant NLS with nonconstant initial data 2020 Kazumasa Fujiwara
Vladimir Georgiev
+ PDF Chat A test function method for evolution equations with fractional powers of the Laplace operator 2020 Marcello D’Abbicco
Kazumasa Fujiwara
+ Lifespan of Solutions for a Weakly Coupled System of Semilinear Heat Equations 2020 Kazumasa Fujiwara
Masahiro Ikeda
Yuta Wakasugi
+ The Cauchy problem of the semilinear second order evolution equation with fractional Laplacian and damping 2020 Kazumasa Fujiwara
Masahiro Ikeda
Yuta Wakasugi
+ A test function method for evolution equations with fractional powers of the Laplace operator 2020 Kazumasa Fujiwara
Marcello D’Abbicco
+ Necessary and sufficient condition for global existence of $L^2$ solutions for 1D periodic NLS with non-gauge invariant quadratic nonlinearity 2020 Kazumasa Fujiwara
Vladimir Georgiev
+ Self-similar solutions to the derivative nonlinear Schrödinger equation 2019 Kazumasa Fujiwara
Vladimir Georgiev
Tohru Ozawa
+ On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases 2019 Kazumasa Fujiwara
Vladimir Georgiev
Tohru Ozawa
+ PDF Chat Blow-Up or Global Existence for the Fractional Ginzburg-Landau Equation in Multi-dimensional Case 2019 Luigi Forcella
Kazumasa Fujiwara
Vladimir Georgiev
Tohru Ozawa
+ PDF Chat Local well-posedness and blow-up for the half Ginzburg-Landau-Kuramoto equation with rough coefficients and potential 2019 Luigi Forcella
Kazumasa Fujiwara
Vladimir Georgiev
Tohru Ozawa
+ Estimates of Lifespan and Blow-up Rates for the Wave Equation with a Time-dependent Damping and a Power-type Nonlinearity 2019 Kazumasa Fujiwara
Masahiro Ikeda
Yuta Wakasugi
+ LIFESPAN OF PERIODIC SOLUTIONS TO NONLINEAR SCHRÖDINGER EQUATIONS (Nonlinear Wave and Dispersive Equations) 2018 Kazumasa Fujiwara
Tohru Ozawa
+ PDF Chat A note for the global nonexistence of semirelativistic equations with nongauge invariant power type nonlinearity 2018 Kazumasa Fujiwara
+ Note for global existence of semilinear heat equation in weighted L 2018 Kazumasa Fujiwara
Vladimir Georgiev
Tohru Ozawa
+ PDF Chat Blow-up for self-interacting fractional Ginzburg–Landau equation 2018 Kazumasa Fujiwara
Vladimir Georgiev
Tohru Ozawa
+ PDF Chat On the lifespan of strong solutions to the periodic derivative nonlinear Schrödinger equation 2018 Kazumasa Fujiwara
Tohru Ozawa
+ Local Well-posedness and Blow-up for the Half Ginzburg-Landau-Kuramoto equation with rough coefficients and potential 2018 Luigi Forcella
Kazumasa Fujiwara
Vladimir Georgiev
Tohru Ozawa
+ Remark on the global non-existence of semirelativistic equations with non-gauge invariant power type nonlinearity with mass 2018 Kazumasa Fujiwara
+ Self-similar solutions to the derivative nonlinear Schrödinger equation 2018 Kazumasa Fujiwara
Vladimir Georgiev
Tohru Ozawa
+ Note for global existence of semilinear heat equation in weighted $L^\infty$ 2018 Kazumasa Fujiwara
Vladimir Georgiev
Tohru Ozawa
+ PDF Chat Higher Order Fractional Leibniz Rule 2017 Kazumasa Fujiwara
Vladimir Georgiev
Tohru Ozawa
+ Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations 2017 Kazumasa Fujiwara
Masahiro Ikeda
Yuta Wakasugi
+ Revisit on the blow-up rate of solutions for a weakly coupled system of semilinear heat equations in the subcritical case 2017 Kazumasa Fujiwara
Masahiro Ikeda
Yuta Wakasugi
+ Lifespan of strong solutions to the periodic nonlinear Schrödinger equation without gauge invariance 2016 Kazumasa Fujiwara
Tohru Ozawa
+ Sharp lifespan estimates and blow-up rates for the semilinear wave equation with time-dependent damping and subcritical nonlinearities 2016 Kazumasa Fujiwara
Masahiro Ikeda
Yuta Wakasugi
+ Estimates of lifespan and blow-up rates for the wave equation with a time-dependent damping and a power-type nonlinearity 2016 Kazumasa Fujiwara
Masahiro Ikeda
Yuta Wakasugi
+ Finite time blowup of solutions to the nonlinear Schrödinger equation without gauge invariance 2016 Kazumasa Fujiwara
Tohru Ozawa
+ Weighted $L^p$-boundedness of convolution type integral operators associated with bilinear estimates in the Sobolev spaces 2016 Kazumasa Fujiwara
Tohru Ozawa
+ On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases 2016 Kazumasa Fujiwara
Vladimir Georgiev
Tohru Ozawa
+ Remark on a semirelativistic equation in the energy space 2015 Tohru Ozawa
Shuji Machihara
Kazumasa Fujiwara
+ Remark on local solvability of the Cauchy problem for semirelativistic equations 2015 Kazumasa Fujiwara
+ Well-Posedness for the Cauchy Problem for a System of Semirelativistic Equations 2015 Kazumasa Fujiwara
Shuji Machihara
Tohru Ozawa
+ Remarks on global solutions to the Cauchy problem for semirelativistic equations with power type nonlinearity 2015 Kazumasa Fujiwara
Tohru Ozawa
+ On a system of semirelativistic equations in the energy space 2015 Kazumasa Fujiwara
Shuji Machihara
Tohru Ozawa
+ PDF Chat Stability of the Young and Hölder inequalities 2014 Kazumasa Fujiwara
Tohru Ozawa
+ The derivation of conservation laws for nonlinear Schroedinger equations with a power type nonlinearity 2014 Kazumasa Fujiwara
Hayato Miyazaki
+ Identities for the difference between the arithmetic and geometric means 2014 Kazumasa Fujiwara
Tohru Ozawa
+ Exact remainder formula for the Young inequality and applications 2013 Kazumasa Fujiwara
Tohru Ozawa
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ A blow-up result for a nonlinear wave equation with damping: The critical case 2001 Qi S. Zhang
14
+ Some non-existence results for the semilinear Schrödinger equation without gauge invariance 2015 Masahiro Ikeda
Takahisa Inui
12
+ Blow-up results for nonlinear parabolic equations on manifolds 1999 Qi S. Zhang
10
+ Some nonexistence results for a semirelativistic Schrödinger equation with nongauge power type nonlinearity 2015 Takahisa Inui
9
+ Critical Exponent for a Nonlinear Wave Equation with Damping 2001 Grozdena Todorova
Borislav Yordanov
9
+ Finite time blowup of solutions to the nonlinear Schrödinger equation without gauge invariance 2016 Kazumasa Fujiwara
Tohru Ozawa
8
+ Remark on local solvability of the Cauchy problem for semirelativistic equations 2015 Kazumasa Fujiwara
8
+ PDF Chat On the growing up problem for semilinear heat equations 1977 Kusuo Kobayashi
Tunekiti Sirao
Hiroshi Tanaka
7
+ PDF Chat Semilinear structural damped waves 2013 Marcello D’Abbicco
Michael Reissig
7
+ L p -L q estimates of solutions to the damped wave equation in 3-dimensional space and their application 2003 Kenji Nishihara
7
+ Lifespan of solutions to the damped wave equation with a critical nonlinearity 2016 Masahiro Ikeda
Takayoshi Ogawa
7
+ PDF Chat On nonexistence of global solutions of some semilinear parabolic differential equations 1973 Kantaro Hayakawa
6
+ Commutator estimates and the euler and navier‐stokes equations 1988 Tosio Kato
Gustavo Ponce
6
+ 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
6
+ PDF Chat Small data blow-up of $L^2$-solution for the nonlinear Schrödinger equation without gauge invariance 2013 Masahiro Ikeda
Yuta Wakasugi
6
+ PDF Chat Existence of ground states for a one-dimensional relativistic Schrödinger equation 2012 Juan Pablo Borgna
Diego Rial
6
+ HitchhikerÊŒs guide to the fractional Sobolev spaces 2011 Eleonora Di Nezza
Giampiero Palatucci
Enrico Valdinoci
6
+ Remarks on global solutions to the Cauchy problem for semirelativistic equations with power type nonlinearity 2015 Kazumasa Fujiwara
Tohru Ozawa
6
+ The Lp–Lq estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media 2003 Pierangelo Marcati
Kenji Nishihara
5
+ Small data blow-up of L^{2}-solution for the nonlinear Schrödinger equation without gauge invariance 2011 Masahiro Ikeda
Yuta Wakasugi
5
+ Lifespan of strong solutions to the periodic nonlinear Schrödinger equation without gauge invariance 2016 Kazumasa Fujiwara
Tohru Ozawa
5
+ PDF Chat Remarks on proofs of conservation laws for nonlinear Schrödinger equations 2005 Tohru Ozawa
5
+ PDF Chat On the Asymptotic Behavior of Solutions of Semi-linear Wave Equations 1976 Akitaka Matsumura
5
+ PDF Chat Life-span of smooth solutions to the complex Ginzburg–Landau type equation on a torus 2003 Tohru Ozawa
Yohei Yamazaki
5
+ A Maximum Principle Applied to Quasi-Geostrophic Equations 2004 Antonio CordĂłba
Diego CĂłrdoba
5
+ PDF Chat A blowup result for the periodic NLS without gauge invariance 2012 Tadahiro Oh
5
+ PDF Chat Nondispersive solutions to the L 2-critical Half-Wave Equation 2013 Joachim Krieger
Enno Lenzmann
Pierre Raphaël
5
+ PDF Chat The Cauchy Problem for Nonlinear Klein–Gordon Equations in the Sobolev Spaces 2001 Makoto Nakamura
Tohru Ozawa
4
+ PDF Chat Small data blow-up of L 2 or H 1-solution for the semilinear Schrödinger equation without gauge invariance 2015 Masahiro Ikeda
Takahisa Inui
4
+ PDF Chat Breakdown of solutions to $\square u+u_t=|u|^{1+\alpha}$ 1995 Tatsien Li
Yi Zhou
4
+ PDF Chat Lp-Lq estimates for damped wave equations and their applications to semi-linear problem 2004 Takashi Narazaki
4
+ PDF Chat Selfsimilar profiles in large time asymptotics of solutions to damped wave equations 2000 Grzegorz Karch
4
+ An application of decay estimates to the semi-linear wave equation with parabolic-like structural damping 2014 Marcello D’Abbicco
Marcelo Rempel Ebert
4
+ PDF Chat A note for the global nonexistence of semirelativistic equations with nongauge invariant power type nonlinearity 2018 Kazumasa Fujiwara
4
+ Large time behavior and Lp−Lq estimate of solutions of 2-dimensional nonlinear damped wave equations 2004 Takafumi Hosono
Takayoshi Ogawa
4
+ PDF Chat Fractional quantum mechanics and LĂ©vy path integrals 2000 Nikolai Laskin
4
+ Global existence for semi-linear structurally damped σ-evolution models 2015 Pham Trieu Duong
Mohamed Kainane Mezadek
Michael Reissig
4
+ On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases 2019 Kazumasa Fujiwara
Vladimir Georgiev
Tohru Ozawa
4
+ Diffusion phenomena for the wave equation with structural damping in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" 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:mo>−</mml:mo><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msup></mml:math>framework 2014 Marcello D’Abbicco
Marcelo Rempel Ebert
4
+ Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on $ {\Bbb R}^n $ 2001 Enzo Mitidieri
Stanislav I. PohoĆŸaev
4
+ The cauchy problem for the critical nonlinear Schrödinger equation in Hs 1990 Thierry Cazenave
Fred B. Weissler
4
+ Critical exponent for the semilinear wave equation with time-dependent damping 2012 Jian Zhai
Kenji Nishihara
Jiayun Lin
4
+ PDF Chat On the Semirelativistic Hartree‐Type Equation 2006 Yonggeun Cho
Tohru Ozawa
4
+ Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation 1991 Francis Michael Christ
Michael I. Weinstein
4
+ PDF Chat $ L^p $-$ L^q $ estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data 2019 Masahiro Ikeda
Takahisa Inui
Mamoru Okamoto
Yuta Wakasugi
4
+ PDF Chat SOBOLEV INEQUALITIES WITH SYMMETRY 2009 Yonggeun Cho
Tohru Ozawa
3
+ The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices 1993 Carlos E. Kenig
Gustavo Ponce
Luis Vega
3
+ Biow-up of solutions of some nonlinear hyperbolic equations 1980 Tosio Kato
3
+ PDF Chat Blowup for nonlinear wave equations describing boson stars 2007 JĂŒrg Fröhlich
Enno Lenzmann
3
+ PDF Chat A note on the lifespan of solutions to the semilinear damped wave equation 2014 Masahiro Ikeda
Yuta Wakasugi
3