منابع مشابه
ENDPOINT STRICHARTZ ESTIMATES By MARKUS KEEL and TERENCE TAO
We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strichartz estimates for the wave equation (in dimension n 4) and the Schrödinger equation (in dimension n 3). Three other applications are discussed: local existence for a nonlinear wave equation; and Strichartz-type estimates for more general dispersive equations and for the kinetic transport equation.
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In this short expository note, we will discuss three subjects: dispersive estimates, Strichartz estimates and smoothing effects which are of great importance in the study of dispersive equations. We will focus on the Euclidean setting and try to derive the interplay among above three objects. We will mainly focus on linear problems in various contexts. Some nonlinear application will also be me...
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 1998
ISSN: 1080-6377
DOI: 10.1353/ajm.1998.0039