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arXiv · 2101.06581

Existence of solutions to nonlinear parabolic equations via majorant integral kernel

Kazuhiro Ishige·Tatsuki Kawakami·Shinya Okabe
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Abstract

We establish the existence of solutions to the Cauchy problem for a large class of nonlinear parabolic equations including fractional semilinear parabolic equations, higher-order semilinear parabolic equations, and viscous Hamilton-Jacobi equations by using the majorant kernel introduced in [K. Ishige, T. Kawakami, and S. Okabe, Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire 37 (2020), 1185--1209].

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Kazuhiro Ishige, Tatsuki Kawakami, Shinya Okabe. 2021-01-17. Existence of solutions to nonlinear parabolic equations via majorant integral kernel. https://arxiv.org/abs/2101.06581

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