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Elsevier, Advances in Mathematics, 2(206), p. 402-433, 2006

DOI: 10.1016/j.aim.2005.09.005

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The General Quasilinear Ultrahyperbolic Schr̈odinger Equation

Journal article published in 2005 by Carlos E. Kenig, Gustavo Ponce, Christian Rolvung, Luis Vega ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

We consider the general quasilinear Schrödinger equation whose second order coefficients are given by a real symmetric non-degenerate matrix. We deduce conditions which guarantee that the associated initial value problem is locally well posed.