22 citations · 46 across the 17 of their papers we have counts for
19 papers
Nonlocal degenerate parabolic hyperbolic equations on bounded domains. Part II: Existence
Jørgen Endal, Espen R Jakobsen, Ola Mæhlen
We study well-posedness of degenerate mixed-type parabolic-hyperbolic equations on bounded domains with general Diric…
Nonlocal degenerate parabolic hyperbolic equations on bounded domains
Nathaël Alibaud, Jørgen Endal, Espen Jakobsen +1
We study well-posedness of degenerate mixed-type parabolic-hyperbolic equations on bounded domains with general Dirichl…
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…
Evolution Driven by the Infinity Fractional Laplacian
Félix del Teso, Jørgen Endal, Espen R. Jakobsen +1
We consider the evolution problem associated to the infinity fractional Laplacian introduced by Bjorland, Caffarelli and Figalli (2012) as the infinitesimal generator of a non-Brow…
Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection
Jørgen Endal, Liviu I. Ignat, Fernando Quirós
We study the large-time behaviour of nonnegative solutions to the Cauchy problem for a nonlocal heat equation with a nonlinear convection term. The diffusion operator is the infini…
Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities
Matteo Bonforte, Jørgen Endal
We establish boundedness estimates for solutions of generalized porous medium equations of the form $$ \partial_t u+(-\mathfrak{L})[u^m]=0\quad\quad\text{in $\mathbb{R}^N\times(0,T…