Lewy-Stampacchia inequality for noncoercive parabolic obstacle problems. (English) Zbl 1536.35193
Summary: We investigate the obstacle problem for a class of nonlinear and noncoercive parabolic variational inequalities whose model is a Leray-Lions type operator having singularities in the coefficients of the lower order terms. We prove the existence of a solution to the obstacle problem satisfying a Lewy-Stampacchia type inequality.
MSC:
| 35K86 | Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators |
| 35K20 | Initial-boundary value problems for second-order parabolic equations |
Keywords:
noncoercive evolution problems; obstacle problems; penalization; Lewy-Stampacchia inequality; Marcinkiewicz spacesReferences:
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