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VOL. 85 | 2020 On some effects of background metrics for several partial differential equations
Makoto Nakamura

Editor(s) Yoshikazu Giga, Nao Hamamuki, Hideo Kubo, Hirotoshi Kuroda, Tohru Ozawa

Abstract

Several semilinear partial partial differential equations are considered in homogeneous and isotropic spacetimes. The Cauchy problems of the equations are considered in Lebesgue spaces and Sobolev spaces. Dissipative and anti-dissipative properties of the spatial variance on the problems are remarked.

Information

Published: 1 January 2020
First available in Project Euclid: 29 December 2020

Digital Object Identifier: 10.2969/aspm/08510315

Subjects:
Primary: 35G20, 35Q30, 35Q75

Rights: Copyright © 2020 Mathematical Society of Japan

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