English

On uniqueness and structure of renormalized solutions to integro-differential equations with general measure data

Analysis of PDEs 2021-03-16 v1

Abstract

We propose a new definition of renormalized solution to linear equation with self-adjoint operator generating a Markov semigroup and bounded Borel measure on the right-hand side. We give a uniqueness result and study the structure of solutions to truncated equations.

Keywords

Cite

@article{arxiv.2003.02331,
  title  = {On uniqueness and structure of renormalized solutions to integro-differential equations with general measure data},
  author = {Tomasz Klimsiak},
  journal= {arXiv preprint arXiv:2003.02331},
  year   = {2021}
}