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math.AP2024
Analysis and approximation of elliptic problems with Uhlenbeck structure in convex polytopes
Tadele Mengesha, Enrique Otarola, Abner J. Salgado
We prove the well posedness in weighted Sobolev spaces of certain linear and nonlinear elliptic boundary value problems posed on convex domains and under singular forcing. It is as…
math.AP2017★ 2 cited
The Poisson and Stokes problems in nonconvex, Lipschitz polytopes
Enrique Otarola, Abner J. Salgado
We show the well-posedness of the Poisson and Stokes problems in weighted spaces over nonconvex, Lipschitz polytopes. For a particular range of , we consider those weights in th…
math.AP2017
Regularity of solutions to space--time fractional wave equations: a PDE approach
Enrique Otarola, Abner J. Salgado
We consider an evolution equation involving the fractional powers, of order , of a symmetric and uniformly elliptic second order operator and Caputo fractional time de…