ON THE SEMI-LINEAR WAVE EQUATIONS (I)
نویسندگان
چکیده
منابع مشابه
Semi-linear wave equations
This survey reviews some of the recent work on semilinear wave equations, in particular the wave map equation. We discuss wellposedness, as well as the construction of special solutions and their stability. Mathematics Subject Classification (2010). 35L05, 35L52, 37K40, 37K45, 53Z05
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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 .
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چکیده ندارد.
15 صفحه اولSe 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 .
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We consider in this paper a class of vector valued processes that have the form Yn+1 = An(Yn)+ Bn. Bn is assumed to be stationary ergodic and An is assumed to have a divisibility property. This class includes linear stochastic difference equations as well as multi-type branching processes (with a discrete or with a continuous state space). We derive explicit expressions for the probability dist...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 1998
ISSN: 1027-5487
DOI: 10.11650/twjm/1500406973