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33 p, 500.8 KB Semilinear formulation of a hyperbolic system of partial differential equations / Barril, Carles (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Calsina i Ballesta, Àngel (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper, we solve the Cauchy problem for a hyperbolic system of first-order PDEs defined on a certain Banach space X. The system has a special semilinear structure because, on the one hand, the evolution law can be expressed as the sum of a linear unbounded operator and a nonlinear Lipschitz function but, on the other hand, the nonlinear perturbation takes values not in X but on a larger space Y which is related to X. [...]
2022 - 10.1007/s00028-022-00816-4
Journal of Evolution Equations, Vol. 22, Issue 3 (September 2022) , art. 58  
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