On the instantaneous shrinking of the support of a solution to the Cauchy problem for an anisotropic parabolic equation

  • S. P. Degtyarev

Abstract

We study the phenomenon of instantaneous shrinking of the support of solution to the Cauchy problem for the parabolic equation with anisotropic degeneration, double nonlinearity, and strong absorption. In terms of the behavior of locally integrable initial data, we formulate necessary and sufficient conditions for the realization of instantaneous shrinking and establish the exact (in order) bilateral estimates for the size of the support of solution.
Published
25.05.2009
How to Cite
DegtyarevS. P. “On the Instantaneous Shrinking of the Support of a Solution to the Cauchy Problem for an Anisotropic Parabolic Equation”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 5, May 2009, pp. 625-40, https://umj.imath.kiev.ua/index.php/umj/article/view/3046.
Section
Research articles