Regularization of an inverse nonlinear parabolic problem with time-dependent coefficient and locally Lipschitz source term
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DOI: 10.1016/j.jmaa.2016.11.083
Abstract: Abstract We consider a backward problem of finding a function u satisfying a nonlinear parabolic equation in the form u t + a ( t ) A u ( t ) = f ( t… read more here.
Keywords: inverse nonlinear; nonlinear parabolic; regularization inverse; parabolic problem ... See more keywords
A Degree Theory for Compact Perturbations of Monotone Type Operators and Application to Nonlinear Parabolic Problem
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DOI: 10.1155/2017/7236103
Abstract: Let be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space . Let be maximal monotone, be bounded and of type and be compact with such that lies in (i.e.,… read more here.
Keywords: existence; theory; nonlinear parabolic; degree theory ... See more keywords
A quasilinear parabolic problem with a source term and a nonlocal absorption
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DOI: 10.3934/cpaa.2018092
Abstract: We investigate a quasi-linear parabolicproblem with nonlocal absorption, for which the comparison principle is not always available. Thesufficient conditions are established via energy method to guaranteesolution to blow up or not, and the long time… read more here.
Keywords: absorption; problem source; quasilinear parabolic; nonlocal absorption ... See more keywords