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Some attempts on $L^{2}$ boundedness for 1-D wave equations with time variable coeffecients

Analysis of PDEs 2023-09-13 v1

Abstract

We consider the L2L^2-boundedness of the solution itself of the Cauchy problem for wave equations with time-dependent wave speeds. We treat it in the one-dimensional Euclidean space. To study these, we adopt a simple multiplier method by using a special property equiped with the one dimensional space.

Keywords

Cite

@article{arxiv.2309.05986,
  title  = {Some attempts on $L^{2}$ boundedness for 1-D wave equations with time variable coeffecients},
  author = {Ryo Ikehata},
  journal= {arXiv preprint arXiv:2309.05986},
  year   = {2023}
}

Comments

7 pages

R2 v1 2026-06-28T12:18:53.059Z