On Periodic Solutions of Quasilinear Parabolic Equations with Boundary Conditions of Bitsadze–Samarskii Type

Abstract: We consider a quasilinear parabolic boundary value problem with a nonlocal boundary condition of Bitsadze–Samarskii type. A theorem on the existence and uniqueness of a periodic solution of this problem is proved. © 2022, Pleiades Publishing, Ltd.

Authors
Solonukha O.V.
Journal
Doklady Mathematics
Number of issue
2
Language
English
Pages
123-126
Status
Published
Link
External link
DOI
10.1134/S106456242202017X
Volume
105
Year
2022
Organizations
  • 1 Federal Research Center “Computer Science and Control,” Russian Academy of Science, Moscow, Russian Federation
  • 2 Mathematical Institute of RUDN University, Moscow, Russian Federation
Keywords
generalized solutions; maximal monotone operator; nonlocal boundary conditions of Bitsadze–Samarskii type; parabolic equation; periodic solution
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