Concavity Method: A concise survey

Concavity Method: A concise survey

Descargar PDF Descargar PDF

Publicado en 3C Empresa – Volume 11, Issue 2 (Ed. 50)




This short review article discusses the concavity method, one of the most effective ways to deal with parabolic equations with unbounded solutions in finite time. If the solution ceases to exist for some time, we say it blows up. The solution or some of its derivatives become singular depending on the equation. We focus on situations where the solution becomes unbounded in finite time, and our objective is to review some of the key blowup theory papers utilising the concavity method.


Palabras clave


Parabolic equations, Concavity method, weak solutions, blowup, variable exponent spaces, p(x)-Laplacian operator.

Articulos relacionados