Blow-up problems for a parabolic equation coupled with superlinear source and local linear boundary dissipation
In this paper, we consider the finite time blow-up results for a parabolic equation coupled with superlinear source term and local linear boundary dissipation. Using a concavity argument, we derive the sufficient conditions for the solutions to blow up in finite time. In particular, we obtain the ex...
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| creator | Sun, Fenglong Wang, Yutai Yin, Hongjian |
| description | In this paper, we consider the finite time blow-up results for a parabolic equation coupled with superlinear source term and local linear boundary dissipation. Using a concavity argument, we derive the sufficient conditions for the solutions to blow up in finite time. In particular, we obtain the existence of finite time blow-up solutions with arbitrary high initial energy. We also derive the upper bound and lower bound of the blow up time. |
| doi_str_mv | 10.48550/arxiv.2201.08961 |
| format | Article |
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| subjects | Concavity Energy dissipation Lower bounds Mathematics - Analysis of PDEs Upper bounds |
| title | Blow-up problems for a parabolic equation coupled with superlinear source and local linear boundary dissipation |
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