Holder Solvability of Quasi-Linear Parabolic Systems in the Divergent Form

Yaremenko, Mykola

doi:10.28919/cpr-pajm/3-2

Research article

Holder Solvability of Quasi-Linear Parabolic Systems in the Divergent Form

Mykola Yaremenko

Abstract

In this article, we consider a quasilinear parabolic system under fair general conditions with form-boundary conditions on the singular coefficients. We establish the requirements on the structural coefficients of the parabolic system under which the quasilinear system has the unique solution in the Holder functional space.

How to cite

M. Yaremenko, Holder Solvability of Quasi-Linear Parabolic Systems in the Divergent Form, Pan-Amer. J. Math. 3 (2024), 2. https://doi.org/10.28919/cpr-pajm/3-2

BibTeX

@article{Yaremenko2024,
  author  = {Yaremenko, Mykola},
  title   = {Holder Solvability of Quasi-Linear Parabolic Systems in the Divergent Form},
  journal = {Pan-Amer. J. Math.},
  volume  = {3},
  year    = {2024},
  pages   = {2},
  doi     = {10.28919/cpr-pajm/3-2}
}