Correo interno
Degenerate fully nonlinear diffusions: from PDEs to interfaces
Ponente: Edgard Pimentel
Institución: Pontifical Catholic University of Rio de Janeiro
Tipo de Evento: Investigación
Institución: Pontifical Catholic University of Rio de Janeiro
Tipo de Evento: Investigación
| Cuándo |
11/05/2023 de 12:00 a 13:00 |
|---|---|
| Dónde | Salón de seminarios "Graciela Salicrup" |
| Agregar evento al calendario |
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We consider degenerate fully nonlinear equations, whose degeneracy rate depends on the gradient of solutions. First, we impose a Dini-continuity condition on the degeneracy term and prove that solutions are continuously differentiable. Then we focus on a work-horse of the theory, namely equations degenerating as a power of the gradient, and prescribe a free transmission problem. In this context, we discuss the existence of solutions and their optimal regularity. We conclude the talk by commenting on a currently open problem in the theory.