Artículos de revistas
Existence And Multiplicity Of Self-similar Solutions For Heat Equations With Nonlinear Boundary Conditions
Registro en:
Existence And Multiplicity Of Self-similar Solutions For Heat Equations With Nonlinear Boundary Conditions. Springer Heidelberg, v. 54, p. 4065-4078 DEC-2015.
0944-2669
WOS:000365412700026
10.1007/s00526-015-0931-1
Autor
Ferreira
Lucas C. F.; Furtado
Marcelo F.; Medeiros
Everaldo S.
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) This paper is concerned with self-similar solutions in the half-space for linear and semilinear heat equations with nonlinear boundary conditions. Existence, multiplicity and positivity of these solutions are analyzed. Self-similar profiles are obtained as solutions of a nonlinear elliptic PDE with drift term and a nonlinear Neummann boundary condition. For that, we employ a variational approach and derive some compact weighted embeddings for the trace operator. 54 4
4065 4078 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)