2018
Том 70
№ 2

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

Boldovskaya O. M.

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.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 7, pp 1040-1060.

Citation Example: Boldovskaya O. M. Removability of an isolated singularity of solutions of the Neumann problem for quasilinear parabolic equations with absorption that admit double degeneration // Ukr. Mat. Zh. - 2010. - 62, № 7. - pp. 894–912.

Full text