On the regularity properties of non-linear wave equations
نویسندگان
چکیده
منابع مشابه
on the effect of linear & non-linear texts on students comprehension and recalling
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15 صفحه اولLow Regularity Semi-linear Wave Equations
We prove local well-posedness results for the semi-linear wave equation for data in H , 0 < < n?3 2(n?1) , extending the previously known results for this problem. The improvement comes from an introduction of a two-scale Lebesgue space X r;p k .
متن کاملGlobal Low Regularity Solutions of Quasi-linear Wave Equations
In this paper we prove the global existence and uniqueness of the low regularity solutions to the Cauchy problem of quasi-linear wave equations with radial symmetric initial data in three space dimensions. The results are based on the end-point Strichartz estimate together with the characteristic method.
متن کاملSe p 19 97 LOW REGULARITY SEMI - LINEAR WAVE EQUATIONS
We prove local well-posedness results for the semi-linear wave equation for data in H γ , 0 < γ < n−3 2(n−1) , extending the previously known results for this problem. The improvement comes from an introduction of a two-scale Lebesgue space X r,p k .
متن کاملConstruction of the wave operator for non-linear dispersive equations
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ژورنال
عنوان ژورنال: Journées équations aux dérivées partielles
سال: 1997
ISSN: 0752-0360
DOI: 10.5802/jedp.522