On a Nonlinear Nonlocal Parabolic Problem

Abstract: We consider the Cauchy problem for a parabolic equation with a Ё-Laplacian or a general second-order quasilinear equation with boundary conditions of the Bitsadze–Samarskii type. We prove that at least one generalized solution of such problem exists. © 2022, Pleiades Publishing, Ltd.

Authors
Solonukha O.V. 1, 2
Journal
Russian Journal of Mathematical Physics
Issue number
1
Language
English
Pages
121-140
State
Published
Link
External link
DOI
10.1134/S1061920822010125
Volume
29
Year
2022
Organizations
  • 1 Federal Research Center “Informatics and Control”, Russian Academy of Science, Moscow, Russian Federation
  • 2 Peoples Friendship University of Russia, Moscow, Russian Federation
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