Abstract
We investigate the singular behaviour of any solution of the semilinear parabolic equation $u_{t}-\Delta u+\left| u\right| ^{q-1}u=0$ in a cylindrical domain near a boundary point. The description is made by means of explicit self-similar solutions of the same equation into a half-space. Uniqueness of singular solutions is also proven.
Citation
Moshe Marcus. Laurent Véron. "Isolated boundary singularities of signed solutions of some semilinear parabolic equations." Adv. Differential Equations 6 (11) 1281 - 1316, 2001. https://doi.org/10.57262/ade/1357139962
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