2022 / December Volume 17 No.4
Solvability and blow-up of the weak solution for a semi-linear Bessel problem with Neumann integral condition
| Published Date |
2022 / December
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|---|---|
| Title | Solvability and blow-up of the weak solution for a semi-linear Bessel problem with Neumann integral condition |
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| Pagination | 439-475 |
| Abstract | Under the consideration that the non-local condition has a spatial impact to the study of the boundary values problems, we present a study of the existence and uniqueness of weak solution for nonlinear parabolic Bessel problem with Neumann integral conditions,
in addition to part devoted to the proof of the finite time blow up solutions. Actually, in the case p ? 1, sufficient conditions of blow up of solutions can be established by Kaplan’s method backed by the numerical results.
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| DOI | |
| AMS Subject Classification |
35K58, 35K61, 35B45, 35A01, 35A02
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| Received |
2022-07-29
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