Factorization of the Non-stationary Heat Equation
نویسندگان
چکیده
منابع مشابه
Spectral Properties of Stationary Solutions of the Nonlinear Heat Equation
(1.1) ut −∆u = |u|u, u|∂Ω = 0, u(0) = u0. It is well known that the above initial value problem is locally well-posed. More precisely, there exists a maximal time 0 < Tu0 ≤ ∞ and a (unique) function u ∈ C([0, Tu0), C0(Ω))∩C((0, Tu0), C(Ω))∩C((0, Tu0), C0(Ω)) which is a classical solution of (1.1) on (0, Tu0) and such that u(0) = u0. Furthermore, there is the blowup alternative: either Tu0 ...
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ژورنال
عنوان ژورنال: PAMM
سال: 2006
ISSN: 1617-7061,1617-7061
DOI: 10.1002/pamm.200610292