Fractional diffusion-wave equations with critical nonlinearities in Lebesgue spaces
Analysis of PDEs
2026-02-09 v1
Abstract
This paper focuses on the study of semilinear fractional diffusion-wave equations in the context of critical nonlinearities. Firstly, we address the issue of local well-posedness for the problem, examine spatial regularity, and the continuous dependence of the solutions on initial data. Secondly, we establish the existence of global mild solutions and investigate their asymptotic behavior.
Cite
@article{arxiv.2602.06461,
title = {Fractional diffusion-wave equations with critical nonlinearities in Lebesgue spaces},
author = {Masterson Costa and Claudio Cuevas and Bruno de Andrade},
journal= {arXiv preprint arXiv:2602.06461},
year = {2026}
}