Abstract
The stability of solutions to an anisotropic reaction–diffusion equation is considered in this paper. Since the equation generally is with hyperbolic-parabolic mixed type and the Dirichlet boundary value condition may be overdetermined, how to impose a suitably partial boundary value condition has been a valuable problem for a long time. A new partial boundary value condition is given. Based on this new partial boundary value condition, the stability of weak solutions is established.
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This work is supported by Natural Science Foundation of Fujian Province (No. 2022J011242), China.
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Zhan, H. Study of the stability to an anisotropic reaction–diffusion equation. Z. Angew. Math. Phys. 74, 210 (2023). https://doi.org/10.1007/s00033-023-02072-z
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DOI: https://doi.org/10.1007/s00033-023-02072-z