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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2016-12-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4923 |