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The parabolic wave equation in local helioseismology

✍ Scribed by Marcus Brüggen

Book ID: 110221024
Publisher: Springer
Year: 2000
Tongue: English
Weight: 59 KB
Volume: 192
Category: Article
ISSN: 0038-0938
DOI: 10.1023/a:1005202022947

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## Abstract The Cauchy problem for a semilinear second order parabolic equation __u__~__t__~ = Δ__u__ + __f__ (__x__, __u__,∇__u__), (__t__, __x__) ∈ ℝ^+^ × ℝ^__N__^ , is considered within the semigroup approach in locally uniform spaces $ {\dot W}^{s,p}\_U $ (ℝ^__N__^ ). Global solvability, dissi