Well-posedness, blow-up phenomena, and global solutions for the b-equation
نویسندگان
چکیده
منابع مشابه
Global Well-posedness, Scattering and Blow-up for the Energy Critical Focusing Non-linear Wave Equation
In this paper we consider the energy critical non-linear wave equation ∂ t u−∆u = ± |u| 4 N−2 u (x, t) ∈ R × R u ∣∣ t=0 = u0 ∈ Ḣ1(R ) ∂tu ∣∣ t=0 = u1 ∈ L(R ) Here the − sign corresponds to the defocusing problem, while the + sign corresponds to the focusing problem. The theory of the local Cauchy problem (CP) for this equation was developed in many papers, see for instance [26], [9], [2...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2008
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle.2008.080