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- W1810220329 abstract "This chapter discusses a local characterization of blowup points of semilinear heat equations. It applies the methods to obtain a local version of the results in so that it explains a crucial idea of the methods. It is concerned with the blowup of solutions of semilinear heat equation. The goal is to distinguish blowup points and non-blowup points by the asymptotic behavior of the solution u as t → T. This problem is studied in when the Dirichlet boundary condition u=0 is imposed. This chapter proves a local version of this result assuming an upper bound on the rate of blowup. Since the converse is trivial, this characterizes non-blowup points. Unfortunately the upper bound is only proved by imposing boundary conditions and restrictions on initial data u o or p." @default.
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- W1810220329 date "1989-01-01" @default.
- W1810220329 modified "2023-09-27" @default.
- W1810220329 title "A Local Characterization of Blowup Points of Semilinear Heat Equations" @default.
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- W1810220329 doi "https://doi.org/10.1016/s0304-0208(08)70503-6" @default.
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