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|Title:||On The Heat Equation With Nonlinearity And Singular Anisotropic Potential On The Boundary|
Marcelo F.; Ferreira
Lucas C. F.; Precioso
|Abstract:||This paper concerns with the heat equation in the half-space with nonlinearity and singular potential on the boundary . We show a well-posedness result that allows us to consider critical potentials with infinite many singularities and anisotropy. Motivated by potential profiles of interest, the analysis is performed in weak L (p) -spaces in which we prove linear estimates for some boundary operators arising from the Duhamel integral formulation in . Moreover, we investigate qualitative properties of solutions like self-similarity, positivity and symmetry around the axis (Ox(n)) over right arrow.|
Nonlinear Boundary Conditions
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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