In this paper, we prove the well-posedness of the initial-boundary value problem for a non- local elliptic-hyperbolic system related to the short pulse equation. Our arguments are based on energy estimates and passing to the limit in a vanishing viscosity approximation of the problem.
On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: SN PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 2662-2963. - ELETTRONICO. - 3:6(2022), pp. 79-118. [10.1007/s42985-022-00208-w]
On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation
Coclite, Giuseppe Maria
;
2022-01-01
Abstract
In this paper, we prove the well-posedness of the initial-boundary value problem for a non- local elliptic-hyperbolic system related to the short pulse equation. Our arguments are based on energy estimates and passing to the limit in a vanishing viscosity approximation of the problem.File in questo prodotto:
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