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Boundary conditions for the volume potential for the polyharmonic equation

✍ Scribed by Kal’menov, T. Sh.; Suragan, D.

Book ID
114988714
Publisher
Springer
Year
2012
Tongue
English
Weight
219 KB
Volume
48
Category
Article
ISSN
0012-2661

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📜 SIMILAR VOLUMES

A uniqueness condition for the polyharmo
A uniqueness condition for the polyharmonic equation in free space
✍ P. Lesky Jr 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 595 KB

## Abstract Consider the polyharmonic wave equation ∂__u__ + (− Δ)^__m__^__u__ = __f__ in ℝ^__n__^ × (0, ∞) with time‐independent right‐hand side. We study the asymptotic behaviour of __u__ (x, __t__) as __t__ → ∞ and show that __u__(x, __t__) either converges or increases with order __t__^α^ or In