Removability of an isolated singularity of solutions of the Neumann problem for quasilinear parabolic equations with absorption that admit double degeneration

  • O. M. Boldovskaya

Abstract

We consider the Neumann initial boundary-value problem for the equation $$u_t=\text{div}(u^{m−1}|Du|^{λ−1}Du)−u^p$$ in domains with noncompact boundary and with initial Dirac delta function. In the case of slow diffusion $(m + λ − 2 > 0)$ and critical absorption exponent $(p = m + λ − 1 +\frac{λ + 1}{N})$, we prove that the singularity at the point $(0, 0)$ is removable.
Published
25.07.2010
How to Cite
Boldovskaya, O. M. “Removability of an Isolated Singularity of Solutions of the Neumann Problem for Quasilinear Parabolic Equations With Absorption That Admit Double Degeneration”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 7, July 2010, pp. 894–912, https://umj.imath.kiev.ua/index.php/umj/article/view/2923.
Section
Research articles