TY - JOUR
T1 - DISAPPEARING SOLUTIONS FOR THE DISSIPATIVE WAVE EQUATION.
AU - Majda, Andrew
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 1975
Y1 - 1975
N2 - A special class of solutions is studied for the dissipative wave equation in either a bounded or exterior region with smooth boundary. Some examples are given which prove that disappearing solutions exist for particular regions with special choices of the parameters. The relationship of these disappearing solutions to the controllability of the system is explored. Theorems concerning the existence of disappearing solutions are derived.
AB - A special class of solutions is studied for the dissipative wave equation in either a bounded or exterior region with smooth boundary. Some examples are given which prove that disappearing solutions exist for particular regions with special choices of the parameters. The relationship of these disappearing solutions to the controllability of the system is explored. Theorems concerning the existence of disappearing solutions are derived.
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U2 - 10.1512/iumj.1975.24.24093
DO - 10.1512/iumj.1975.24.24093
M3 - Article
AN - SCOPUS:0016569792
SN - 0022-2518
VL - 24
SP - 1119
EP - 1133
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
IS - 12
ER -