The initial-boundary-value problem for an Ostrovsky-Hunter type equation

被引：0

作者：

Coclite, Giuseppe Maria ^{[1
]}

di Ruvo, Lorenzo ^{[2
]}

Karlsen, Kenneth Hvistendahl ^{[3
]}

机构：

[1] Polytech Univ Bari, Dept Mech Math & Management, Via E Orabona 4, I-70125 Bari, Italy

[2] Univ Bari, Dept Math, Via E Orabona 4, I-70125 Bari, Italy

[3] Univ Oslo, Dept Math, POB 1053, N-0316 Oslo, Norway

来源：

NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS, MATHEMATICAL PHYSICS, AND STOCHASTIC ANALYSIS: THE HELGE HOLDEN ANNIVERSARY VOLME | 2018年

关键词：

WEAK ROTATION LIMIT; GLOBAL WELL-POSEDNESS; SHORT-PULSE EQUATION; SOLITARY WAVES; VAKHNENKO EQUATION; CAUCHY-PROBLEM; STABILITY; WELLPOSEDNESS; DISPERSION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an Ostrovsky-Hunter type equation. We prove the well-posedness of the entropy solution for the non-homogeneous initial boundary value problem. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method.

引用

页码：97 / 109

页数：13

共 39 条

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