Search Results - "Fujiwara, Kazumasa"

Note on the lifespan estimate of solutions for non-gauge invariant semilinear massless semirelativistic equations with some scaling critical nonlinearity by Fujiwara, Kazumasa

“…In this manuscript, in the L 1 scaling critical case, a lifespan estimate of solutions to the Cauchy problem for non-gauge invariant semilinear…”
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Remark on local solvability of the Cauchy problem for semirelativistic equations by Fujiwara, Kazumasa

“…Nonexistence of local solutions to the Cauchy problem of semirelativistic equations with power type nonlinearity is shown in scale subcritical and one space…”
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Feasibility study of the e-learning version of the “Journey of the Brave:” a universal anxiety-prevention program based on cognitive behavioral therapy by Ohashi, Shoichi, Urao, Yuko, Fujiwara, Kazumasa, Koshiba, Takako, Ishikawa, Shin-ichi, Shimizu, Eiji

“…Background School-based cognitive behavioral therapy (CBT) programs could contribute toward preventing anxiety disorders in children. However, setting aside…”
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On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping by Fujiwara, Kazumasa, Ikeda, Masahiro, Wakasugi, Yuta

“…In the present paper, we prove time decay estimates of solutions in weighted Sobolev spaces to the second order evolution equation with fractional Laplacian…”
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Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations by Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi

“…Blow-up phenomena of weakly coupled systems of several evolution equations, especially complex Ginzburg-Landau equations is shown by a straightforward ODE…”
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Stability of the Young and Hölder inequalities by Fujiwara, Kazumasa, Ozawa, Tohru

“…We give a simple proof of the Aldaz stability version of the Young and Hölder inequalities and further refinements of available stability versions of those…”
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Studies on the Molecular Basis of Heterosis in Arabidopsis thaliana and Vegetable Crops by Shiraki, Saaya, Fujiwara, Kazumasa, Kamiya, Yoshiki, Akter, Mst. Arjina, Dennis, Elizabeth S., Fujimoto, Ryo, Mehraj, Hasan

“…Heterosis is an important phenomenon for high-yield crop breeding and is utilized for breeding F1 varieties in horticultural crops. However, its molecular…”
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Lifespan estimates of 1D non-gauge invariant semilinear semirelativistic equations by Fujiwara, Kazumasa

“…In this paper, the non-global solvability of the Cauchy problem for non-gauge invariant semilinear semirelativistic equations is considered. The lifespan…”
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Lifespan estimates for 1d damped wave equation with zero moment initial data by Fujiwara, Kazumasa, Georgiev, Vladimir

“…In this manuscript, a sharp lifespan estimate of solutions to semilinear classical damped wave equation is investigated in one dimensional case when the…”
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A note for the global nonexistence of semirelativistic equations with nongauge invariant power type nonlinearity by Fujiwara, Kazumasa

“…The nonexistence of global solutions for semirelativistic equations with nongauge invariant power type nonlinearity is revisited by a relatively direct way…”
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Higher Order Fractional Leibniz Rule by Fujiwara, Kazumasa, Georgiev, Vladimir, Ozawa, Tohru

“…The fractional Leibniz rule is generalized by the Coifman–Meyer estimate. It is shown that the arbitrary redistribution of fractional derivatives for higher…”
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Lifespan of strong solutions to the periodic nonlinear Schrödinger equation without gauge invariance by Fujiwara, Kazumasa, Ozawa, Tohru

“…A lifespan estimate and sharp condition of the initial data for finite time blowup for the periodic nonlinear Schrödinger equation are presented from a…”
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Well-Posedness for the Cauchy Problem for a System of Semirelativistic Equations by Fujiwara, Kazumasa, Machihara, Shuji, Ozawa, Tohru

“…The local well-posedness for the Cauchy problem of a system of semirelativistic equations in one space dimension is shown in the Sobolev space H s of order s…”
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Note on the lifespan estimate of solutions for non-gauge invariant semilinear massless semirelativistic equations with some scaling critical nonlinearity by Fujiwara, Kazumasa

“…In this manuscript, in the $L^1$ scaling critical case, a lifespan estimate of solutions to the Cauchy problem for non-gauge invariant semilinear…”
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Remark on the Chain rule of fractional derivative in the Sobolev framework by Fujiwara, Kazumasa

“…A chain rule for power product is studied with fractional differential operators in the framework of Sobolev spaces. The fractional differential operators are…”
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Lifespan estimates for 1d damped wave equation with zero moment initial data by Fujiwara, Kazumasa, Georgiev, Vladimir

“…In this manuscript, a sharp lifespan estimate of solutions to semilinear classical damped wave equation is investigated in one dimensional case when the…”
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On extended lifespan for 1d damped wave equation by Fujiwara, Kazumasa, Georgiev, Vladimir

“…In this manuscript, a sharp lifespan estimate of solutions to semilinear classical damped wave equation is investigated in one dimensional case, when the sum…”
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Remark on the global non-existence of semirelativistic equations with non-gauge invariant power type nonlinearity with mass by Fujiwara, Kazumasa

“…The non-existence of global solutions for semirelativistic equations with non-gauge invariant power type nonlinearity with mass is studied in the frame work of…”
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A note for the global non-existence of semirelativistic equations with non-gauge invariant power type nonlinearity by Fujiwara, Kazumasa

“…Math. Meth. Appl. Sci. (2018) The non-existence of global solutions for semirelativistic equations with non-gauge invariant power type nonlinearity is…”
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Necessary and sufficient condition for global existence of $L^2$ solutions for 1D periodic NLS with non-gauge invariant quadratic nonlinearity by Fujiwara, Kazumasa, Georgiev, Vladimir

“…We study 1D NLS with non-gauge invariant quadratic nonlinearity on the torus. The Cauchy problem admits trivial global solutions which are constant with…”
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