Well-posedness results for a class of nonlinear reaction-diffusion equations with memory
Keywords:
nonlinear heat equation, reaction-diffusion equations, memory term, blow-upAbstract
In this paper, we are interested to study the initial value problem for nonlinear heat equation with memory. For our problem, we show that the local existence theory related to the finite time blow-up is also obtained for the problem with logarithmic nonlinearity. We also obtain the blowup continuation property of the mild solution. The principal techniques based on some Sobolev embeddings with \(L^p\) spaces.References
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Copyright (c) 2023 Ho Duy Binh; Nguyen Duc Phuong (Corresponding Author); Vo Viet Tri
This work is licensed under a Creative Commons Attribution 4.0 International License.
Accepted 2023 May 04
Published 2023 May 07