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Kazumasa Fujiwara
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All published works
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Title
Year
Authors
+
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Lifespan estimates for 1d damped wave equation with zero moment initial data
2024
Kazumasa Fujiwara
Vladimir Georgiev
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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
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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
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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
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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
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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 DâAbbicco
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 DâAbbicco
+
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
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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
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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
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LIFESPAN OF PERIODIC SOLUTIONS TO NONLINEAR SCHRĂDINGER EQUATIONS (Nonlinear Wave and Dispersive Equations)
2018
Kazumasa Fujiwara
Tohru Ozawa
+
PDF
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A note for the global nonexistence of semirelativistic equations with nongauge invariant power type nonlinearity
2018
Kazumasa Fujiwara
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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 GinzburgâLandau 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
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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
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Remark on local solvability of the Cauchy problem for semirelativistic equations
2015
Kazumasa Fujiwara
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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
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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
Coauthor
Papers Together
Tohru Ozawa
23
Vladimir Georgiev
18
Yuta Wakasugi
8
Masahiro Ikeda
7
Luigi Forcella
3
Shuji Machihara
3
Marcello DâAbbicco
2
Masahiro Ikeda
1
Hayato Miyazaki
1
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 DâAbbicco
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 navierâstokes 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 LpâLq 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 GinzburgâLandau 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 KleinâGordon 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 DâAbbicco
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 LpâLq 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 Ï-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>â</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 DâAbbicco
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 HartreeâType 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