On higher regularity for the Westervelt equation with strong nonlinear damping
نویسندگان
چکیده
منابع مشابه
Regularity and Scattering for the Wave Equation with a Critical Nonlinear Damping
We show that the nonlinear wave equation u + ut = 0 is globally well-posed in radially symmetric Sobolev spaces Hk rad(R 3) × Hk−1 rad (R 3) for all integers k > 2. This partially extends the well-posedness in Hk(R3) × Hk−1(R3) for all k ∈ [1, 2], established by Lions and Strauss [12]. As a consequence we obtain the global existence of C∞ solutions with radial C∞ 0 data. The regularity problem ...
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ژورنال
عنوان ژورنال: Applicable Analysis
سال: 2015
ISSN: 0003-6811,1563-504X
DOI: 10.1080/00036811.2015.1114607