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Regularity theory in Orlicz spaces for the parabolic polyharmonic equations

✍ Scribed by Fengping Yao


Publisher
Springer
Year
2008
Tongue
English
Weight
176 KB
Volume
90
Category
Article
ISSN
0003-889X

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## Abstract Consider the polyharmonic wave equation βˆ‚__u__ + (βˆ’ Ξ”)^__m__^__u__ = __f__ in ℝ^__n__^ Γ— (0, ∞) with time‐independent right‐hand side. We study the asymptotic behaviour of __u__ (x, __t__) as __t__ β†’ ∞ and show that __u__(x, __t__) either converges or increases with order __t__^Ξ±^ or In