Advances in Nonlinear Analysis (Aug 2023)

Noncoercive parabolic obstacle problems

  • Farroni Fernando,
  • Greco Luigi,
  • Moscariello Gioconda,
  • Zecca Gabriella

DOI
https://doi.org/10.1515/anona-2022-0322
Journal volume & issue
Vol. 12, no. 1
pp. 148 – 156

Abstract

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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.

Keywords