Construction of a blow-up solution for a complex nonlinear heat equation
We construct a solution to a complex nonlinear heat equation which blows up in nite time T only at one blow-up point. We also give a sharp description of its blow-up pro le. The proof relies on the reduction of the problem to a nite dimensional one and the use of index theory to conclude. We note th...
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Published in | Communications in partial differential equations Vol. 40; no. 7; pp. 1197 - 1217 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Taylor & Francis
01.04.2015
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Subjects | |
Online Access | Get full text |
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Summary: | We construct a solution to a complex nonlinear heat equation which blows up in nite time T only at one blow-up point. We also give a sharp description of its blow-up pro le. The proof relies on the reduction of the problem to a nite dimensional one and the use of index theory to conclude. We note that the real and imaginary parts of the constructed solution blow up simultaneously. |
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ISSN: | 0360-5302 1532-4133 |