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
Keywords:
Navier-Stokes equations
,
semilinear diffusion equation
,
semilinear Klein-Gordon equation
,
semilinear Shrödinger equation
Rights: Copyright © 2020 Mathematical Society of Japan
