On fractional and classical hyperbolic obstacle-type problems

2023/08/31 by Campos, Pedro Miguel, Rodrigues, José Francisco · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2308.16881

Abstract

We consider weak solutions for the obstacle-type viscoelastic (ν>0) and very weak solutions for the obstacle inviscid (ν=0) Dirichlet problems for the heterogeneous and anisotropic wave equation in a fractional framework based on the Riesz fractional gradient D^s (0

Cited by

• Fractional weighted Sobolev spaces associated to the Riesz fractional gradient
• Compact embeddings of Bessel Potential Spaces

Related

• On the obstacle problem for fractional semilinear wave equations
• Obstacle problems for the elastic flow and related topics
• Cauchy Problem for Fractional Diffusion-Wave Equations with Variable Coefficients
• Variational formulation for fractional hyperbolic problems in the theory of viscoelasticity
• Viscosity solutions of obstacle problems for Fully nonlinear path-dependent PDEs