Work

Singular convergence for semilinear wave equations with steep potential well

Year: 2026

Type: preprint

Abstract: We consider a semilinear wave equation in the whole space with a deep potential well. We prove that as the depth of the well tends to infinity, the solutions of the equation converge to the solutions of a wave equation defined on the bottom of the well, with Dirichlet condition on the boundary.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2602.17279

Author: Prizzi, Martino

Institution: University of Trieste

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7130675260

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