We consider the non-characteristic Cauchy problem for the degenerate nonlinear parabolic equation under some assumptions on and . The problem is improperly posed in the sense of Hadamard. We derive for such solutions an estimate in terms of the Cauchy data and a prescribed bound of the solution.
Cite this article
Kazuya Hayasida, On some Improperly Posed Problem for a Degenerate Nonlinear Parabolic Equation. Z. Anal. Anwend. 19 (2000), no. 2, pp. 395–413DOI 10.4171/ZAA/958