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Abschätzungssätze für parabolische Funktional-Differential-Operatoren mit Funktional-Randbedingungen

✍ Scribed by Wolfgang Voigt


Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
842 KB
Volume
113
Category
Article
ISSN
0025-584X

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✦ Synopsis


For nonlinear parabolic functional-differential operators with nonlinear functionalboundary conditions of first and third kind, involving time-derivatives on the boundary, a uNform conception for one-and two-sided estimations on unbounded domains is introduced. In the infinity variable growth conditions are given. As a conclusion stability, uniqueness and a mauimum principle follow.


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Symmetry-and selfadjointness-conditions are derived for ordinary differentialintegral-interface operators under integral-interface conditions. Criteria for the existence of selfadjoint extensions in Li x L ~ are given. These extensions are characterized in a constructive way. The main tools are some