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Existence results for nonlinear parabolic equations via strong convergence of truncations. (English) Zbl 0957.35066

By using some truncations techniques, the author proves an existence result concerning an initial-boundary value problem, with \(L^1\)-initial data, for a parabolic equation governed by a nonlinear “explosive” perturbation of a pseudomonotone operator of Leray-Lions type acting in \(L^2(0,T;H^1_0(\Omega))\), where \(\Omega\) is a bounded domain in \(\mathbb{R}^n\).

MSC:

35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35A35 Theoretical approximation in context of PDEs
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