Global solutions to a class of nonlinear damped wave operator equations

• Published in: Boundary value problems Vol. 2012; no. 1; pp. 1 - 9
• Main Authors: Pan, Zhigang, Pu, Zhilin, Ma, Tian
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 13.04.2012; Hindawi Limited; BioMed Central Ltd
• Subjects: Analysis; Approximations and Expansions; Boundary value problems; Classification; Difference and Functional Equations; Mathematical analysis; Mathematics; Mathematics and Statistics; Nonlinearity; Operators; Ordinary Differential Equations; Partial Differential Equations; Regularity; global solutions; uniformly bounded; regularity; nonlinear damped wave operator equations
• ISSN: 1687-2770; 1687-2762; 1687-2770
• DOI: 10.1186/1687-2770-2012-42

This study investigates the existence of global solutions to a class of nonlinear damped wave operator equations. Dividing the differential operator into two parts, variational and non-variational structure, we obtain the existence, uniformly bounded and regularity of solutions. Mathematics Subject Classification 2000 : 35L05; 35A01; 35L35.