Functional Anaysis for Engineers
نویسنده
چکیده
4 Sobolev-Spaces 23 4.1 Basic Definitions . . . . . . . . . . . . . . . . . . . . . . . . . 23 4.2 Poisson’s Problem . . . . . . . . . . . . . . . . . . . . . . . . . 27 4.3 Abstract Eigenvalue Problem . . . . . . . . . . . . . . . . . . 30 4.4 Sobolev Spaces for Periodic Functions . . . . . . . . . . . . . . 32 4.5 Fractional Sobolev Spaces for Periodic Functions . . . . . . . . 32 4.6 Trace Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . 33 4.7 Symmetric Extension . . . . . . . . . . . . . . . . . . . . . . . 36 4.8 Regularity of Elliptic Equations . . . . . . . . . . . . . . . . . 37 4.9 Proof of Compact Embedding . . . . . . . . . . . . . . . . . . 38
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