Well-posedness for a modified Zakharov system

DOI10.14492/HOKMJ/1277472864zbMATH Open1132.35477arXivmath/0601727OpenAlexW2151445924MaRDI QIDQ2469776

Hartmut Pecher

Publication date: 7 February 2008

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Abstract: The Cauchy problem for a modified Zakharov system is proven to be locally well-posed for rough data in two and three space dimensions. In the three dimensional case the problem is globally well-posed for data with small energy. Under this assumption there also exists a global classical solution for sufficiently smooth data.

Full work available at URL: https://arxiv.org/abs/math/0601727

zbMATH Keywords

Fourier restriction norm method

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (2)

Finite-dimensional solutions of a modified Zakai equation ⋮ Well-posedness for a class of generalized Zakharov system

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