Some existence results for a class of parabolic equations with nonlinear boundary conditions
DOI:
https://doi.org/10.24193/subbmath.2025.4.08Keywords:
Parabolic problem, global existence, blow-upAbstract
Using the Galerkin approximation and a family of potential wells, we establish the existence of a global weak solution under appropriate conditions. Additionally, we provide a result on the blow-up and asymptotic behavior of certain solutions with positive initial energy.
Mathematics Subject Classification (2010): 35A01, 35K05, 35K55.
Received 22 March 2025; Accepted 20 July 2025.
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