Journal of Applied Mathematics and Stochastic Analysis
Volume 8 (1995), Issue 4, Pages 397-404
doi:10.1155/S1048953395000360
Strongly damped semilinear equations
Lucknow University, Department of Mathematics & Astronomy, Lucknow 226 007, India
Received 1 October 1994; Revised 1 February 1995
Copyright © 1995 D. Bahuguna. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
A class of strongly damped semilinear equations is studied by using the
theory of analytic semigroups. Conditions (on the nonlinear forcing term) are
given under which the existence and uniqueness of local and global classical
solutions are ensured.