English

An Observation About Weak Solutions of Linear Differential Equations in Hilbert Spaces

Analysis of PDEs 2024-06-05 v1

Abstract

In this note we propose a definition of weak solution for an abstract Cauchy problem in a Hilbert space, and we discuss existence and uniqueness results.

Keywords

Cite

@article{arxiv.2406.02474,
  title  = {An Observation About Weak Solutions of Linear Differential Equations in Hilbert Spaces},
  author = {Vittorino Pata and Justin T. Webster},
  journal= {arXiv preprint arXiv:2406.02474},
  year   = {2024}
}