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Neue Resolventenabschätzungen für elliptische Differentialoperatoren und semilineare parabolische Gleichungen. (German) Zbl 0408.35031


MSC:

35J30 Higher-order elliptic equations
35K55 Nonlinear parabolic equations
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35B35 Stability in context of PDEs
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[2] Agmon, S., Douglis, A. andNirenberg, L.: Estimates near the boundary for solutions of elliptic partical differential equations satisfying general boundary conditions. I, Comm. Pure Appl. Math. vol. 12 (1951), 623–727. · Zbl 0093.10401 · doi:10.1002/cpa.3160120405
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[8] Ladyzhenskaja, O. A., Solonnikow, V. A., andUral’tseva, N. N.: Linear and Quasilinear Equations of Parabolic Type. Translations of Mathematical Monographs 23. Providence, Rhode Island: American Mathematical Society 1968.
[9] Ladyzhenskaya, O. A. andUral’tseva, N. N.: Linear and Quasilinear Elliptic Equations. New York and London: Academic Press 1968. · Zbl 0164.13002
[10] Lions, J. L.: Equations Différentielles Operationelles et Problèmes aux Limites. Berlin-Göttingen-Heidelberg: Springer 1961. · Zbl 0098.31101
[11] Tomi, F.: Über semilineare elliptische Differentialgleichungen zweiter Ordnung, Math. Z. 111 (1969), 350–366. · Zbl 0179.43602 · doi:10.1007/BF01110746
[12] Wahl, W. v.: Über quasilineare elliptische Differentialgleichungen in der Ebene, Manuscripta Math. 8 (1973), 59–67. · Zbl 0243.35041 · doi:10.1007/BF01317577
[13] Wahl, W. v.:, Einige Bemerkungen zu meiner Arbeit ”Gebrochene Potenzen eines elliptischen Operators und Parabolische Differentialgleichungen in Räumen hölderstetiger Funktionen”, Manuscripta Math. 11 (1974), 199–201. · Zbl 0285.35039 · doi:10.1007/BF01184957
[14] Wahl, W. v.: Gebrochene Potenzen eines elliptischen Operators und parabolische Differentialgleichungen in Räumen hölderstetiger Funktionen, Nachr. Akademie der Wiss. in Göttingen 11 (1972), 231–258. · Zbl 0251.35052
[15] Wahl, W. v.: Lineare und Semilineare Parabolische Differentialgleichungen in Räumen hölderstetiger Funktionen, Abh. Math. Sem. Univ. Hamburg, erscheint demnächst. · Zbl 0324.35044
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