Title

Well-posedness for the coupled BBM systems

Document Type

Article

Publication Date

6-1-2018

Abstract

Consideration is given to initial value problem for systems of two evolution equations of generalized BBM-type coupled through nonlinearity described in (1.3). It is shown that the problem is always locally well-posed in the L2-based Sobolev spaces Hs(ℝ) × Hs(ℝ) for s ≥ 0. Under exact conditions on A;… F; the local well-posedness theory extends globally, and bounds for the growth in time of relevant norms of solutions corresponding to very general auxiliary data are derived.

DOI

10.11948/2018.890

Publication Title

Journal of Applied Analysis and Computation

Volume Number

8

Issue Number

3

First Page

890

Last Page

914

ISSN

2156907X

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