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An existence and uniqueness result using bounded variation estimates in Galerkin approximations
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math.AP
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approximationsgalerkinboundedestimatesexistenceresultsolutionsuniqueness
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Bounded variation estimates of Galerkin approximations are established in order to extract an almost everywhere convergent subsequence of Galerkin approximations. As a result we prove existence of weak solutions of initial boundary value problems for quasilinear parabolic equations. Uniqueness of weak solutions is derieved applying a standard argument.
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