On periodic solutions of quasilinear parabolic equations with boundary conditions of Bitsadze-Samarskii type. (English. Russian original) Zbl 1497.35306
Dokl. Math. 105, No. 2, 123-126 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 83-86 (2022).
Summary: 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.
MSC:
| 35K59 | Quasilinear parabolic equations |
| 35D30 | Weak solutions to PDEs |
| 35K20 | Initial-boundary value problems for second-order parabolic equations |
| 35B10 | Periodic solutions to PDEs |
Keywords:
periodic solution; nonlocal boundary conditions of Bitsadze-Samarskii type; maximal monotone operator; generalized solutionsReferences:
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