Nonhomogeneous Linear and Quasilinear Elliptic and Parabolic Boundary Value Problems
作者： Herbert Amann
DOI: 10.1007/978-3-663-11336-2_1
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摘要: It is the purpose of this paper to describe some of the recent developments in the mathematical theory of linear and quasilinear elliptic and parabolic systems with nonhomogeneous boundary conditions. For illustration we use the relatively simple set-up of reaction-diffusion systems which are—on the one h and—typical for the whole class of systems to which the general theory applies and—on the other h and—still simple enough to be easily described without too many technicalities. In addition, quasilinear reaction …
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G. Da Prato, Abstract differential equations and extrapolation spaces Lecture Notes in Mathematics. pp. 53- 61 ,(1984) , 10.1007/BFB0072765
D. Daners, Pablo Koch Medina, Abstract evolution equations, periodic problems and applications Longman Scientific & Technical , Wiley. ,(1992)
GZ Gui-Zhong Liu, Evolution equations and scales of Banach spaces Technische Universiteit Eindhoven. ,(1989) , 10.6100/IR311397
Reinhard Redlinger, Pointwise A-Priori Bounds for Strongly Coupled Semilinear Parabolic Systems. Indiana University Mathematics Journal. ,vol. 36, pp. 441- 454 ,(1986) , 10.21236/ADA167539
Konrad Gr�ger, A W 1,p -estimate for solutions to mixed boundary value problems for second order elliptic differential equations Mathematische Annalen. ,vol. 283, pp. 679- 687 ,(1989) , 10.1007/BF01442860
Jörgen Löfström, Jöran Bergh, Interpolation Spaces: An Introduction ,(2011)
Graham Jameson, Ordered linear spaces Lecture Notes in Mathematics. pp. 1- 39 ,(1970) , 10.1007/BFB0059132
Thomas Walther, Abstrakte Sobolev-Räume und ihre Anwendung auf die Störungstheorie für Generatoren von C[0]-Halbgruppen [C-Halbgruppen] [s.n.]. ,(1986)
Winfried Sickel, Superposition of functions in Sobolev spaces of fractional order. A survey Banach Center Publications. ,vol. 27, pp. 481- 497 ,(1992) , 10.4064/-27-2-481-497
Brunello Terreni, Nonhomogeneous initial-boundary value problems for linear parabolic systems Studia Mathematica. ,vol. 92, pp. 141- 175 ,(1989) , 10.4064/SM-92-2-141-175