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- W4240715710 abstract "AbstractIn Chapter IV, we consider problems with nonlinearities depending on u and its space derivatives: $$ left. {begin{array}{*{20}c} {u_t - Delta u = Fleft( {u,nabla u} right),{mathbf{ }}x in Omega ,t > 0,} {u = 0,{mathbf{ }}x in partial Omega ,t > 0,} {uleft( {x,0} right) = u_0 left( x right),{mathbf{ }}x in Omega .} end{array} {mathbf{ }}} right} $$ Here F = F(u, ξ):ℝ×ℝn → lo is a C1-function (except for problem (34.4) with 1 < q > 2, see below).KeywordsMaximum PrincipleGlobal SolutionModel ProblemGlobal ExistenceComparison PrincipleThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W4240715710 created "2022-05-12" @default.
- W4240715710 date "2007-12-15" @default.
- W4240715710 modified "2023-10-18" @default.
- W4240715710 title "Equations with Gradient Terms" @default.
- W4240715710 doi "https://doi.org/10.1007/978-3-7643-8442-5_5" @default.
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