Existence and non-existence of solutions for Hardy parabolic equations with singular initial data
We establish the existence, non-existence and uniqueness of the local solutions of the Hardy parabolic equation $u_t - \Delta u = h(t)|\cdot |^{-\gamma}g(u)$ on $\Omega \times (0,T) $ with Dirichlet boundary conditions. We assume that $\Omega$ with $0\in \Omega$ is a smooth domain bounded or unboun...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2025-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2025/67/abstr.html |
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