Advances in Nonlinear Analysis (Aug 2023)
Noncoercive parabolic obstacle problems
Abstract
We prove an existence result for obstacle problems related to convection-diffusion parabolic equations with singular coefficients in the convective term. Our operator is not coercive, the obstacle function is time-dependent irregular, and the coefficients in the lower-order term belong to a borderline mixed Lebesgue-Marcinkiewicz space.
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