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Abstract
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Journal of Applied Mathematics and Stochastic Analysis 
Volume 8 (1995), Issue 4, Pages 397-404
doi:10.1155/S1048953395000360

Strongly damped semilinear equations

D. Bahuguna

Lucknow University, Department of Mathematics & Astronomy, Lucknow 226 007, India

Received 1 October 1994; Revised 1 February 1995

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.