Initial-Boundary Value Problems for Anisotropic Parabolic Equations with Variable Exponents of the Nonlinearity in Unbounded Domains with Conditions at Infinity

We deal with the initial-boundary value problems with some restrictions at infinity for linear and nonlinear anisotropic parabolic second-order equations in unbounded domains with respect to the spatial variables. The weak solutions of our problem in Lebesgue and Sobolev spaces with variable exponen...

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Autore principale:	Mykola Bokalo
Natura:	Artigo
Lingua:	Inglês
Pubblicazione:	Oles Honchar Dnipro National University 2022-04-01
Serie:	Journal of Optimization, Differential Equations and Their Applications
Soggetti:	parabolic equation variable exponent of nonlinearity lebesgue space with variable exponent sobolev space with variable exponent unbounded domain saint- venant principle, monotonicity method
Accesso online:	https://model-dnu.dp.ua/index.php/SM/article/view/169
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