Sweers guido (9 risultati)
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Paperback. Condizione: New.
Lingua: Inglese
Editore: Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2010
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Paperback. Condizione: New. 2010 ed. Linear elliptic equations arise in several models describing various phenomena in the applied sciences, the most famous being the second order stationary heat eq- tion or,equivalently,the membraneequation. Forthis intensivelywell-studiedlinear problem there are two main lines of results. The…?rst line consists of existence and regularity results. Usually the solution exists and "gains two orders of differen- ation" with respect to the source term. The second line contains comparison type results, namely the property that a positive source term implies that the solution is positive under suitable side constraints such as homogeneous Dirichlet bou- ary conditions. This property is often also called positivity preserving or, simply, maximum principle. These kinds of results hold for general second order elliptic problems, see the books by Gilbarg-Trudinger [198] and Protter-Weinberger [347]. For linear higher order elliptic problems the existence and regularitytype results - main, as one may say, in their full generality whereas comparison type results may fail. Here and in the sequel "higher order" means order at least four. Most interesting models, however, are nonlinear.By now, the theory of second order elliptic problems is quite well developed for semilinear, quasilinear and even for some fully nonlinear problems. If one looks closely at the tools being used in the proofs, then one ?nds that many results bene?t in some way from the positivity preserving property. Techniques based on Harnack's inequality, De Giorgi-Nash- Moser's iteration, viscosity solutions etc.
Partial Differential Equations and Functional Analysis
. Ed(s): Koelink, Erik; Neerven, Jan van; Pagter, Ben de; Sweers, Guido
Lingua: Inglese
Editore: Birkhauser Verlag AG, 2006
Serie: Libro 15 di 132 - Operator Theory: Advances and Applications
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Condizione: New. Capturing the interplay between partial differential equations, functional analysis, maximal regularity, and probability theory, this volume was initiated at the Delft conference on the occasion of the retirement of Philippe Clement. It is of interest to researchers in PDEs and functional analysis. Editor(s): Ko…elink, Erik; Neerven, Jan van; Pagter, Ben de; Sweers, Guido. Series: Operator Theory: Advances and Applications. Num Pages: 304 pages, biography. BIC Classification: PBKJ. Category: (UU) Undergraduate. Dimension: 234 x 155 x 19. Weight in Grams: 1340. . 2006. Hardback. . . . .
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Condizione: Gut. Zustand: Gut | Seiten: 448 | Sprache: Englisch | Produktart: Bücher | Linear elliptic equations arise in several models describing various phenomena in the applied sciences, the most famous being the second order stationary heat eq- tion or,equivalently,the membraneequation. Forthis intensivelywell-studiedlinear… problem there are two main lines of results. The ?rst line consists of existence and regularity results. Usually the solution exists and ¿gains two orders of differen- ation¿ with respect to the source term. The second line contains comparison type results, namely the property that a positive source term implies that the solution is positive under suitable side constraints such as homogeneous Dirichlet bou- ary conditions. This property is often also called positivity preserving or, simply, maximum principle. These kinds of results hold for general second order elliptic problems, see the books by Gilbarg-Trudinger [198] and Protter-Weinberger [347]. For linear higher order elliptic problems the existence and regularitytype results - main, as one may say, in their full generality whereas comparison type results may fail. Here and in the sequel ¿higher order¿ means order at least four. Most interesting models, however, are nonlinear. By now, the theory of second order elliptic problems is quite well developed for semilinear, quasilinear and even for some fully nonlinear problems. If one looks closely at the tools being used in the proofs, then one ?nds that many results bene?t in some way from the positivity preserving property. Techniques based on Harnack¿s inequality, De Giorgi-Nash- Moser¿s iteration, viscosity solutions etc.
Lingua: Inglese
Editore: Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2010
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Paperback. Condizione: New. 2010 ed. Linear elliptic equations arise in several models describing various phenomena in the applied sciences, the most famous being the second order stationary heat eq- tion or,equivalently,the membraneequation. Forthis intensivelywell-studiedlinear problem there are two main lines of results. The…?rst line consists of existence and regularity results. Usually the solution exists and "gains two orders of differen- ation" with respect to the source term. The second line contains comparison type results, namely the property that a positive source term implies that the solution is positive under suitable side constraints such as homogeneous Dirichlet bou- ary conditions. This property is often also called positivity preserving or, simply, maximum principle. These kinds of results hold for general second order elliptic problems, see the books by Gilbarg-Trudinger [198] and Protter-Weinberger [347]. For linear higher order elliptic problems the existence and regularitytype results - main, as one may say, in their full generality whereas comparison type results may fail. Here and in the sequel "higher order" means order at least four. Most interesting models, however, are nonlinear.By now, the theory of second order elliptic problems is quite well developed for semilinear, quasilinear and even for some fully nonlinear problems. If one looks closely at the tools being used in the proofs, then one ?nds that many results bene?t in some way from the positivity preserving property. Techniques based on Harnack's inequality, De Giorgi-Nash- Moser's iteration, viscosity solutions etc.
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Paperback. Condizione: Like New. LIKE NEW. SHIPS FROM MULTIPLE LOCATIONS. book.
Partial Differential Equations and Functional Analysis
. Ed(s): Koelink, Erik; Neerven, Jan van; Pagter, Ben de; Sweers, Guido
Lingua: Inglese
Editore: Birkhauser Verlag AG, 2006
Serie: Libro 15 di 132 - Operator Theory: Advances and Applications
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Condizione: New. Capturing the interplay between partial differential equations, functional analysis, maximal regularity, and probability theory, this volume was initiated at the Delft conference on the occasion of the retirement of Philippe Clement. It is of interest to researchers in PDEs and functional analysis. Editor(s): Ko…elink, Erik; Neerven, Jan van; Pagter, Ben de; Sweers, Guido. Series: Operator Theory: Advances and Applications. Num Pages: 304 pages, biography. BIC Classification: PBKJ. Category: (UU) Undergraduate. Dimension: 234 x 155 x 19. Weight in Grams: 1340. . 2006. Hardback. . . . . Books ship from the US and Ireland.
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Models of Higher Order.- Linear Problems.- Eigenvalue Problems.- Kernel Estimates.- Positivity and Lower Order Perturbations.- Dominance of Positivity in Linear Equations.- Semilinear Problems.- Willmore Surfaces of…Revolution.This monograph covers .
