Singular Klein–Gordon Equation on a Bounded Domain

Ruzhansky M. Yeskermessuly A.
June 2025 Springer

Journal of Mathematical Sciences (United States)
2025 #291 Issue 1 97 - 116 pp.

We consider the wave equation for the Laplace operator with potential, initial data, and inhomogeneous Dirichlet boundary condition. We establish the existence of a weak solution by using traces and extension domains. We prove the existence, uniqueness, and consistency of a very weak solution for the wave equation with singularities in the potential, initial data, source term, boundary, and boundary condition.

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Ghent University, 281, Krijgslaan Building S8, Ghent, B 9000, Belgium
Queen Mary University of London, 327, Mile End Road, London, E1 4NS, United Kingdom
Altynsarin University, 17, Auelbekov St, Arkalyk, P10A1P9, Kazakhstan

Ghent University
Queen Mary University of London
Altynsarin University

10 лет помогаем публиковать статьи Международный издатель

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