Edit Profile (opens in new tab) Fujiwara, Kazumasa Co-Author Distance Author ID: fujiwara.kazumasa Published as: Fujiwara, Kazumasa; Fujiwara, K. External Links: ORCID · ResearchGate Documents Indexed: 36 Publications since 2006, including 5 Additional arXiv Preprints Co-Authors: 8 Co-Authors with 27 Joint Publications 262 Co-Co-Authors all top 5 Co-Authors 8 single-authored 16 Ozawa, Tohru 11 Georgiev, Vladimir S. 5 Ikeda, Masahiro 5 Wakasugi, Yuta 3 Machihara, Shuji 2 Forcella, Luigi 1 D’Abbicco, Marcello 1 Itoi, Chigak 1 Miyazaki, Hayato 1 Sakamoto, Yoshinori all top 5 Serials 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Discrete and Continuous Dynamical Systems 2 Journal of Evolution Equations 2 RIMS Kôkyûroku Bessatsu 2 Evolution Equations and Control Theory 2 PLISKA. Studia Mathematica 1 Communications in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Differential Equations 1 Journal of the Mathematical Society of Japan 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Tokyo Journal of Mathematics 1 Applied Mathematics Letters 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 Journal of Inequalities and Applications 1 Mathematical Inequalities & Applications 1 Communications on Pure and Applied Analysis 1 Dynamics of Partial Differential Equations all top 5 Fields 28 Partial differential equations (35-XX) 7 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 2 Number theory (11-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 152 times in 117 Documents Cited by ▼ Year ▼ Higher order fractional Leibniz rule. Zbl 1400.46027 Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 24 2018 Estimates of lifespan and blow-up rates for the wave equation with a time-dependent damping and a power-type nonlinearity. Zbl 1426.35162 Fujiwara, Kazumasa; Ikeda, Masahiro; Wakasugi, Yuta 18 2019 A note for the global nonexistence of semirelativistic equations with nongauge invariant power type nonlinearity. Zbl 1397.35239 Fujiwara, Kazumasa 13 2018 A test function method for evolution equations with fractional powers of the Laplace operator. Zbl 1450.35264 D’Abbicco, M.; Fujiwara, K. 12 2021 Lifespan of strong solutions to the periodic nonlinear Schrödinger equation without gauge invariance. Zbl 1381.35160 Fujiwara, Kazumasa; Ozawa, Tohru 10 2017 Finite time blowup of solutions to the nonlinear Schrödinger equation without gauge invariance. Zbl 1348.35231 Fujiwara, Kazumasa; Ozawa, Tohru 10 2016 Remark on a semirelativistic equation in the energy space. Zbl 1336.35311 Ozawa, Tohru; Machihara, Shuji; Fujiwara, Kazumasa 9 2015 On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases. Zbl 1439.35415 Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 8 2020 On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping. Zbl 1476.35041 Fujiwara, Kazumasa; Ikeda, Masahiro; Wakasugi, Yuta 8 2021 Remark on local solvability of the Cauchy problem for semirelativistic equations. Zbl 1325.35200 Fujiwara, Kazumasa 5 2015 Lifespan of solutions for a weakly coupled system of semilinear heat equations. Zbl 1439.35181 Fujiwara, Kazumasa; Ikeda, Masahiro; Wakasugi, Yuta 4 2020 Well-posedness for the Cauchy problem for a system of semirelativistic equations. Zbl 1319.35205 Fujiwara, Kazumasa; Machihara, Shuji; Ozawa, Tohru 4 2015 On a system of semirelativistic equations in the energy space. Zbl 1428.35422 Fujiwara, Kazumasa; Machihara, Shuji; Ozawa, Tohru 4 2015 Blow-up for self-interacting fractional Ginzburg-Landau equation. Zbl 1392.35302 Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 4 2018 Stability of the Young and Hölder inequalities. Zbl 1372.26016 Fujiwara, Kazumasa; Ozawa, Tohru 4 2014 On global existence of \(L^2\) solutions for 1D periodic NLS with quadratic nonlinearity. Zbl 1498.35501 Fujiwara, Kazumasa; Georgiev, Vladimir 3 2021 The derivation of conversation laws for nonlinear Schrödinger equations with power type nonlinearities. Zbl 1392.35284 Fujiwara, Kazumasa; Miyazaki, Hayato 2 2017 Self-similar solutions to the derivative nonlinear Schrödinger equation. Zbl 1435.35345 Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 2 2020 Blow-up or global existence for the fractional Ginzburg-Landau equation in multi-dimensional case. Zbl 1423.35395 Forcella, Luigi; Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 2 2019 Local well-posedness and blow-up for the half Ginzburg-Landau-Kuramoto equation with rough coefficients and potential. Zbl 1412.35282 Forcella, Luigi; Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 1 2019 Remarks on bilinear estimates in the Sobolev spaces. Zbl 1359.26022 Fujiwara, Kazumasa; Ozawa, Tohru 1 2016 Lifespan estimates of 1D non-gauge invariant semilinear semirelativistic equations. Zbl 1479.35137 Fujiwara, Kazumasa 1 2022 Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations. Zbl 1370.35247 Fujiwara, Kazumasa; Ikeda, Masahiro; Wakasugi, Yuta 1 2017 Note for global existence of semilinear heat equation in weighted \(L^\infty\) space. Zbl 1449.35260 Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 1 2019 A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations. Zbl 1517.35066 Fujiwara, Kazumasa; Georgiev, Vladimir 1 2023 A new class of small initial data which may shift the critical power and lifespan estimates for the classical damped wave equations. Zbl 1517.35066 Fujiwara, Kazumasa; Georgiev, Vladimir 1 2023 Lifespan estimates of 1D non-gauge invariant semilinear semirelativistic equations. Zbl 1479.35137 Fujiwara, Kazumasa 1 2022 A test function method for evolution equations with fractional powers of the Laplace operator. Zbl 1450.35264 D’Abbicco, M.; Fujiwara, K. 12 2021 On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping. Zbl 1476.35041 Fujiwara, Kazumasa; Ikeda, Masahiro; Wakasugi, Yuta 8 2021 On global existence of \(L^2\) solutions for 1D periodic NLS with quadratic nonlinearity. Zbl 1498.35501 Fujiwara, Kazumasa; Georgiev, Vladimir 3 2021 On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases. Zbl 1439.35415 Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 8 2020 Lifespan of solutions for a weakly coupled system of semilinear heat equations. Zbl 1439.35181 Fujiwara, Kazumasa; Ikeda, Masahiro; Wakasugi, Yuta 4 2020 Self-similar solutions to the derivative nonlinear Schrödinger equation. Zbl 1435.35345 Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 2 2020 Estimates of lifespan and blow-up rates for the wave equation with a time-dependent damping and a power-type nonlinearity. Zbl 1426.35162 Fujiwara, Kazumasa; Ikeda, Masahiro; Wakasugi, Yuta 18 2019 Blow-up or global existence for the fractional Ginzburg-Landau equation in multi-dimensional case. Zbl 1423.35395 Forcella, Luigi; Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 2 2019 Local well-posedness and blow-up for the half Ginzburg-Landau-Kuramoto equation with rough coefficients and potential. Zbl 1412.35282 Forcella, Luigi; Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 1 2019 Note for global existence of semilinear heat equation in weighted \(L^\infty\) space. Zbl 1449.35260 Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 1 2019 Higher order fractional Leibniz rule. Zbl 1400.46027 Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 24 2018 A note for the global nonexistence of semirelativistic equations with nongauge invariant power type nonlinearity. Zbl 1397.35239 Fujiwara, Kazumasa 13 2018 Blow-up for self-interacting fractional Ginzburg-Landau equation. Zbl 1392.35302 Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 4 2018 Lifespan of strong solutions to the periodic nonlinear Schrödinger equation without gauge invariance. Zbl 1381.35160 Fujiwara, Kazumasa; Ozawa, Tohru 10 2017 The derivation of conversation laws for nonlinear Schrödinger equations with power type nonlinearities. Zbl 1392.35284 Fujiwara, Kazumasa; Miyazaki, Hayato 2 2017 Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations. Zbl 1370.35247 Fujiwara, Kazumasa; Ikeda, Masahiro; Wakasugi, Yuta 1 2017 Finite time blowup of solutions to the nonlinear Schrödinger equation without gauge invariance. Zbl 1348.35231 Fujiwara, Kazumasa; Ozawa, Tohru 10 2016 Remarks on bilinear estimates in the Sobolev spaces. Zbl 1359.26022 Fujiwara, Kazumasa; Ozawa, Tohru 1 2016 Remark on a semirelativistic equation in the energy space. Zbl 1336.35311 Ozawa, Tohru; Machihara, Shuji; Fujiwara, Kazumasa 9 2015 Remark on local solvability of the Cauchy problem for semirelativistic equations. Zbl 1325.35200 Fujiwara, Kazumasa 5 2015 Well-posedness for the Cauchy problem for a system of semirelativistic equations. Zbl 1319.35205 Fujiwara, Kazumasa; Machihara, Shuji; Ozawa, Tohru 4 2015 On a system of semirelativistic equations in the energy space. Zbl 1428.35422 Fujiwara, Kazumasa; Machihara, Shuji; Ozawa, Tohru 4 2015 Stability of the Young and Hölder inequalities. Zbl 1372.26016 Fujiwara, Kazumasa; Ozawa, Tohru 4 2014 all cited Publications top 5 cited Publications all top 5 Cited by 127 Authors 19 Fujiwara, Kazumasa 16 Ozawa, Tohru 15 Georgiev, Vladimir S. 11 Ikeda, Masahiro 7 D’Abbicco, Marcello 7 Wakasugi, Yuta 6 Dao, Tuan Anh 6 Sobajima, Motohiro 5 Girardi, Giovanni 4 Chen, Wenhui 4 Wu, Xinfeng 3 Bellazzini, Jacopo 3 Lai, Ningan 3 Tomioka, Kenta 3 Wang, Chengbo 2 Antonelli, Paolo 2 Carreño-Diaz, J. F. 2 Charão, Ruy Coimbra 2 Cho, Yonggeun 2 Douglas, Sean 2 Ebert, Marcelo Rempel 2 Fan, Xiongmei 2 Fino, Ahmad Z. 2 Gan, Zaihui 2 Grafakos, Loukas 2 Huh, Hyungjin 2 Ikehata, Ryo 2 Inui, Takahisa 2 Jaquette, Jonathan 2 Kaikina, Elena Igorevna 2 Li, Yuan 2 Liu, Mengyun 2 Liu, Zongguang 2 Machihara, Shuji 2 Ming, Sen 2 Peng, Congming 2 Reissig, Michael 2 Shi, Qihong 2 Taniguchi, Koichi 2 Tu, Ziheng 2 Visciglia, Nicola 2 Wakasa, Kyouhei 2 Yang, Jiexing 1 Arora, Anudeep Kumar 1 Barbera, Daniele 1 Bez, Neal 1 Cao, Daomin 1 Chatziafratis, Andreas 1 Cung The Anh 1 D’Ancona, Piero 1 Dinh, Van Duong 1 do Nascimento, Wanderley Nunes 1 Du, Jiayi 1 Fan, Dashan 1 Feng, Yue 1 Filippucci, Roberta 1 Forcella, Luigi 1 Ghergu, Marius 1 Guo, Qing 1 Ham, Seheon 1 Hayashi, Masayuki 1 He, Yong 1 Hidano, Kunio 1 Hong, Younghun 1 Ioku, Norisuke 1 Ishiwata, Michinori 1 Iwabuchi, Tsukasa 1 Jeavons, Chris 1 Jin, Sangdon 1 Jleli, Mohamed Boussairi 1 Killip, Rowan 1 Kirane, Mokhtar 1 Kwon, Yehyun 1 Lai, Shaoyong 1 Lee, Kiyeon 1 Lee, Sanghyuk 1 Lenzmann, Enno 1 Lessard, Jean-Philippe 1 Li, Mei 1 Liu, Grace 1 Liu, Hui 1 Longen, Luis Gustavo 1 Lu, Yong 1 Lucente, Sandra 1 Maierhofer, Georg 1 Marcati, Pierangelo 1 Meng, Linghui 1 Miyazaki, Hayato 1 Mizutani, Haruya 1 Moon, Bora 1 Nguyen, Duc Anh 1 Nishihara, Kenji 1 Ntekoume, Maria 1 Oh, Seungly 1 Okamoto, Mamoru 1 Palmieri, Alessandro 1 Pham Trieu Duong 1 Piske, Alessandra 1 Ren, Cui 1 Roudenko, Svetlana ...and 27 more Authors all top 5 Cited in 51 Serials 11 Journal of Mathematical Analysis and Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Journal of Differential Equations 6 Discrete and Continuous Dynamical Systems 6 Evolution Equations and Control Theory 5 Mathematical Methods in the Applied Sciences 5 NoDEA. Nonlinear Differential Equations and Applications 5 Journal of Evolution Equations 3 Journal of Mathematical Physics 3 Mathematische Annalen 3 Calculus of Variations and Partial Differential Equations 3 The Journal of Fourier Analysis and Applications 3 Journal of Hyperbolic Differential Equations 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Funkcialaj Ekvacioj. Serio Internacia 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Inequalities and Applications 2 Communications on Pure and Applied Analysis 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Nonlinearity 1 Mathematics of Computation 1 Advances in Mathematics 1 Archiv der Mathematik 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Results in Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Bulletin of the Korean Mathematical Society 1 Applied Mathematics Letters 1 The Journal of Geometric Analysis 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Potential Analysis 1 Selecta Mathematica. New Series 1 Journal of Applied Analysis 1 Vietnam Journal of Mathematics 1 Mathematical Inequalities & Applications 1 Fractional Calculus & Applied Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 Analysis & PDE 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Mathematical Physics 1 Journal of Pseudo-Differential Operators and Applications 1 Advances in Nonlinear Analysis all top 5 Cited in 20 Fields 103 Partial differential equations (35-XX) 16 Real functions (26-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 9 Functional analysis (46-XX) 7 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) Citations by Year