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On positive solutions of the heat equation satisfying a nonlinear boundary condition |
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| Authors: | V. A. Kondrat’ev |
| Affiliation: | 1.Moscow State University,Moscow,Russia |
| Abstract: | We consider a boundary value problem for the heat equation in the exterior of a bounded domain of space variables. On the boundary of the domain, we pose a nonlinear boundary condition. We find sharp nonlinearity exponents for which there exists no global solution. |
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