JournalszaaVol. 11, No. 3pp. 401–406

A Counterexample for L1L^1-Estimates for Parabolic Differential Equations

  • Pawel Kröger

    Universidad Técnica Federico Santa María, Valparaíso, Chile
A Counterexample for $L^1$-Estimates for Parabolic Differential Equations cover

Abstract

We show that the Dini (1) continuity of the coefficients of a linear parabolic differential operator in non-divergence form is in some sense the weakest condition such that the solutions of the corresponding initial value problem satisfy an L1L^1-estimate;…

Cite this article

Pawel Kröger, A Counterexample for L1L^1-Estimates for Parabolic Differential Equations. Z. Anal. Anwend. 11 (1992), no. 3, pp. 401–406

DOI 10.4171/ZAA/596