Academic Journal
Global Well-Posedness for Nonlinear Evolution Equations with a Composite Diamond Klein-Gordon Operator.
| Τίτλος: | Global Well-Posedness for Nonlinear Evolution Equations with a Composite Diamond Klein-Gordon Operator. |
|---|---|
| Συγγραφείς: | Bupasiri, Sudprathai1 sudprathai@gmail.com |
| Πηγή: | IAENG International Journal of Applied Mathematics. Aug2026, Vol. 56 Issue 8, p2991-2995. 5p. |
| Θεματικοί όροι: | *Nonlinear evolution equations, *Differential operators, *Hyperbolic differential equations, *Mathematical analysis, *Sobolev spaces, *Functional analysis |
| Περίληψη: | This paper investigates the global wellposedness of nonlinear evolution equations associated with a composite diamond Klein-Gordon operator, which generalizes the classical Klein-Gordon framework and arises in higher-order hyperbolic models. Under suitable assumptions on the nonlinear term, we establish global existence, uniqueness, and continuous dependence of solutions in appropriate Sobolev spaces using energy estimates and functional analytic techniques. The analysis allows weaker regularity conditions on the initial data and applies to a broader class of nonlinearities than existing results. The obtained results extend the well-posedness theory for nonlinear Klein-Gordon type equations and provide a unified framework for evolution equations involving composite differential operators. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
καταχωρήστε σχόλιο πρώτοι!