Calculus of Variations and Geometric Measure Theory

F. Farroni - L. Greco - G. Moscariello - G. Zecca

Nonlinear evolution problems with singular coefficients in the lower order terms

created by farroni on 16 Nov 2020
modified on 26 May 2021

[BibTeX]

Published Paper

Inserted: 16 nov 2020
Last Updated: 26 may 2021

Journal: Nonlinear Differ. Equ. Appl.
Year: 2021
Doi: https://doi.org/10.1007/s00030-021-00698-4

Abstract:

We consider a Cauchy Dirichlet problem for a quasilinear second order parabolic equation with lower order term driven by a singular coefficient. We establish an existence result to such a problem and we describe the time behavior of the solution in the case of the infinite time horizon.