Mixed initial-boundary value problem forOtt-Sudan-Ostrovskiy equation

Martn P. Árciga Alejandre; Elena I. Kaikina

doi:10.3934/dcds.2012.32.381

Article Contents

2012, Volume 32, Issue 2: 381-409. Doi: 10.3934/dcds.2012.32.381

This issue Previous Article Lie's reduction method and differential Galois theory in the complex analytic context Next Article Large solutions of elliptic systems of second order and applications to the biharmonic equation

Mixed initial-boundary value problem for Ott-Sudan-Ostrovskiy equation

Martn P. Árciga Alejandre^1, and
Elena I. Kaikina^2,

1.
Instituto de Física y Matemáticas, UMSNH, Ediﬁcio C-3, Ciudad Universitaria), Morelia CP 58040, Michoacán
2.
Instituto de Matemáticas, UNAM Campus Morelia, AP 61-3 (Xangari), Morelia CP 58089, Michoacán

Received: July 31, 2010

Revised: April 30, 2011

Published: January 2012

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Abstract

We consider the mixed initial-boundary value problem for Ott-Sudan-Ostrovskiy equation on a half-line. We study traditionally important problems of the theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary value problem and the asymptotic behavior of solutions for large time.

Keywords:

Dissipative Nonlinear Evolution Equation,
Large Time Asymptotics,
Fractional derivative.

Mathematics Subject Classification: Primary: 35Q35; Secondary: 35Q55.

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