Strong traces to degenerate parabolic equations

Autor: Erceg, Marko, Mitrović, Darko
Rok vydání: 2020
Předmět:
Zdroj: SIAM Journal on Mathematical Analysis, 54 (2022) 1775-1796
Druh dokumentu: Working Paper
DOI: 10.1137/21M1425530
Popis: We prove existence of strong traces at $t=0$ for quasi-solutions to (multidimensional) degenerate parabolic equations with no non-degeneracy conditions. In order to solve the problem, we combine the blow up method and a strong precompactness result for quasi-solutions to degenerate parabolic equations with the induction argument with respect to the space dimension.
Databáze: arXiv