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Abschätzungssätze für parabolische Funktional‐Differential‐Operatoren mit Funktional‐Randbedingungen
Author(s) -
Voigt Wolfgang
Publication year - 1983
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19831130129
Subject(s) - uniqueness , mathematics , boundary (topology) , infinity , nonlinear system , differential (mechanical device) , physics , mathematical analysis , thermodynamics , quantum mechanics
For nonlinear parabolic functional‐differential operators with nonlinear functional‐boundary conditions of first and third kind, involving time‐derivatives on the boundary, a uniform 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 maximum principle follow.