Strongly damped semilinear equations. (1995)

• Record Type: Journal Article
• Authors: Bahuguna, D.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 8:Number 4(1995)
• Page Start: 397
• Page End: 404
• Publication Date: 1995
• Subjects: strongly damped wave equation -- analytic semigroup -- classical solution -- mild solution; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953395000360
• Languages: English
• ISSNs: 1048-9533

Abstract

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.