Singular Perturbations of Forward-Backward p-Parabolic Equations
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In this paper we have proved the existence of entropy measure-valued solutions to forward-backward p-parabolic equations. We have obtained these solutions as singular limits of weak solutions to (p,q)-elliptic regularized boundary-value problems as ε → 0+. When q > 1 and q = 2 we have not defined yet admissible initial and final conditions even in the form of integral inequalities.
2010 Mathematics Subject ClassificationPrimary: 35D99, 35K55, 35K65, 35K92 Secondary: 28A33, 35B50, 35R25
Key words and phrasesentropy solution forward-backward parabolic equation gradient Young measure maximum principle
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