On global well-posedness for Klein-Gordon equation with concentrated nonlinearity
Elena Kopylova
TL;DR
This paper establishes the global well-posedness of the three-dimensional Klein-Gordon equation when it includes a concentrated nonlinearity, ensuring solutions exist and are unique over time.
Contribution
It provides the first rigorous proof of global well-posedness for the Klein-Gordon equation with concentrated nonlinearities in three dimensions.
Findings
Proves global existence and uniqueness of solutions.
Extends understanding of nonlinear Klein-Gordon equations.
Addresses challenges posed by concentrated nonlinearities.
Abstract
We prove global well-posedness for the 3D Klein-Gordon equation with a concentrated nonlinearity.
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