Vibrating infinite string under general observation conditions and minimally smooth force

Existence of the classical solution $u(x,t)\in C^2(\mathbb{R}^2)$ to the Problem \eqref{eq:1}, \eqref{eq:2} (shortly Problem $\mathcal{A}$): \[\tag{1}\label{eq:1} L u := u_{tt}(x,t)-a^2 u_{xx}(x,t)=f(x,t), \qquad (x,t)\in \mathbb{R}^2, \ a>0, \] under the observation conditions (the observed stat...

Full description

Bibliographic Details
Main Authors: András Szijártó, Jenő Hegedűs
Format: Article
Language:English
Published: University of Szeged 2016-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4923