Journal of Applied Mathematics and Stochastic Analysis
Volume 8 (1995), Issue 4, Pages 397-404

Strongly damped semilinear equations

D. Bahuguna

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.


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.