2 papers
math.AP2025
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…
math.AP2024
Optimal stability results and nonlinear duality for entropy and viscosity solutions
Nathaël Alibaud, Jørgen Endal, Espen Robstad Jakobsen
We give a new and rigorous duality relation between two central notions of weak solutions of nonlinear PDEs: entropy and viscosity solutions. It takes the form of the nonlinear dua…