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Fractional powers approach of operators for the solvability of some elliptic PDEʼs with variable operators coefficients

✍ Scribed by Fatiha Boutaous

Book ID
116389920
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
140 KB
Volume
349
Category
Article
ISSN
1631-073X

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Characterization of the Domain of Fractional Powers of a Class of Elliptic Differential Operators with Feedback Boundary Conditions
✍ Takao Nambu 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 449 KB

We study a class of elliptic differential operators with feedback boundary conditions of the Dirichlet type and the generalized Neumann type. The domain of the fractional powers of these operators is completely characterized in terms of various Sobolev spaces. The results are an extension of the sta