3 papers
math.AP2023
Heat equations with fast convection: source-type solutions and large-time behaviour
Jørgen Endal, Liviu I. Ignat, Fernando Quirós
We study the existence and uniqueness of source-type solutions to the Cauchy problem for the heat equation with fast convection under certain tail control assumptions. We allow the…
math.AP2016
On the well-posedness of solutions with finite energy for nonlocal equations of porous medium type
Félix del Teso, Jørgen Endal, Espen R. Jakobsen
We study well-posedness and equivalence of different notions of solutions with finite energy for nonlocal porous medium type equations of the form These eq…
math.AP2014
contraction for bounded (non-integrable) solutions of degenerate parabolic equations
J. Endal, E. R. Jakobsen
We obtain new contraction results for bounded entropy solutions of Cauchy problems for degenerate parabolic equations. The equations we consider have possibly strongly degene…