Numerical quenching for the semilinear heat equation with a singular absorption
نویسندگان
چکیده
منابع مشابه
A Very Singular Solution of the Heat Equation with Absorption
Consider the Cauchy problem ut -du + u p ----0 on RN• (0, oo) (I.1) u > 0 on RN• (0, oo) (1.2) u(X, O) = c ~(x) on R, N, (1.3) where N _--> 1, c > 0 is a constant and ~(x) denotes the Dirac mass at the origin. A result of BREZlS and FRIEDMAN [6] asserts that if 1 < p < (N + 2)/N, then for every c > 0 there exists a unique 1 solution uc of (1.1)-(1.3). When p >= (N + 2)IN there is no solution of...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2009
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.08.041