Some Non-standard Sobolev Spaces, Interpolation and Its Application to PDE

We consider some nonstandard Sobolev spaces in one dimension, in which functions have different regularity in different subsets. These spaces are useful in the study of some nonlinear parabolic equations where the nonlinearity is highly degenerate and depends on the smoothness of the solution at a c...

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Vydáno v:	Acta applicandae mathematicae Ročník 121; číslo 1; s. 57 - 67
Hlavní autoři:	González, María del Mar, Gualdani, Maria Pia
Médium:	Journal Article Publikace
Jazyk:	angličtina
Vydáno:	Dordrecht Springer Netherlands 01.10.2012 Springer Nature B.V
Témata:	26 Real functions 26A Functions of one variable 35 Partial differential equations 35K Parabolic equations and systems 35S Pseudodifferential operators and other generalizations of partial differential operators 46 Associative rings and algebras 46B Normed linear spaces and Banach spaces; Banach lattices Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Classificació AMS Computational Mathematics and Numerical Analysis Data smoothing Diffusion Equilibrium Free boundaries Functional spaces Hypotheses Interpolation Matemàtiques i estadística Mathematical analysis Mathematics Mathematics and Statistics Nonlinear equations Nonlinear parabolic equation Nonlinearity Partial Differential Equations Probability Theory and Stochastic Processes Regularity Singularities Sobolev space Studies Àrees temàtiques de la UPC Interpolation 26A33 35K05 Functional spaces Nonlinear parabolic equation 35S05 46B70
ISSN:	0167-8019, 1572-9036
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