Zur Lösbarkeit der Anfangs-Randwertaufgabe im Sobolew-Raum
Jörg Heinrich
Technische Universität Dresden, Germany
![Zur Lösbarkeit der Anfangs-Randwertaufgabe $\frac{\partial}{\partial t} u-D(x, t, u) \Delta u = f$ im Sobolew-Raum cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-zaa-volume-4-issue-1.png&w=3840&q=90)
Abstract
The subject of this paper is a quasilinear parabolic initial-boundary-value problem for functions with values in an arbitrary Hilbert-space. The results of a previous paper permit a simple approach. We transfer the problem into a fixed point problem, which we can solve with the help of a well-known fixed point theorem.
Cite this article
Jörg Heinrich, Zur Lösbarkeit der Anfangs-Randwertaufgabe im Sobolew-Raum. Z. Anal. Anwend. 4 (1985), no. 1, pp. 55–64
DOI 10.4171/ZAA/137