Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems
Analysis of PDEs
2025-12-10 v1
Abstract
We prove the global classical solvability of initial-boundary problems for semilinear first-order hyperbolic systems subjected to local and nonlocal nonlinear boundary conditions. We also establish lower bounds for the order of nonlinearity demarkating a frontier between regular cases (classical solvability) and singular cases (blow-up of solutions).
Keywords
Cite
@article{arxiv.0801.0369,
title = {Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems},
author = {Irina Kmit},
journal= {arXiv preprint arXiv:0801.0369},
year = {2025}
}
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12 pages