Global existence of solutions for a nonlocal parabolic equation with nonlocal boundary conditions
https://doi.org/10.25587/2411-9326-2025-1-102-103
Abstract
We consider initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition and nonnegative initial datum. We find conditions which guarantee global existence of solutions as well blow-up of solutions in finite time.
About the Author
A. L. Gladkov
Belarusian State University
Belarus
Belarus
Alexander L. Gladkov
4 Nezavisimosti Avenue, 220030 Minsk
References
1. Gladkov A., Kavitova T. Global existence of solutions of initial-boundary value problem for nonlocal parabolic equation with nonlocal boundary condition // Math. Methods Appl. Sci. 2020. V. 43, N 1. P. 5464–5479.
2. Гладков A., Кавитова T. О начально-краевой задаче для нелокального параболического уравнения с нелокальным граничным условием // Журн. Белорус. гос. ун-та. Математика. Информатика. 2018. № 1. С. 29–38.
3. Gladkov A. Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition // Monatshefte f¨ur Mathematik. 2024. V. 203, N 2. P. 357–372.
Review
For citations:
Gladkov A.L. Global existence of solutions for a nonlocal parabolic equation with nonlocal boundary conditions. Mathematical notes of NEFU. 2025;32(1):102-103. (In Russ.) https://doi.org/10.25587/2411-9326-2025-1-102-103
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