Normale Ansicht MARC ISBD

Boundary value problems and Hardy spaces for elliptic systems with block structure Pascal Auscher, Moritz Egert

Von:

Auscher, Pascal [VerfasserIn]

Mitwirkende(r):

Egert, Moritz, 1988- [VerfasserIn]

Materialtyp: Text

TextSprache: Englisch Reihen: ; 346 | Progress in mathematics ; 346Verlag: Cham Springer [2023]Beschreibung: xiii, 310 Seiten Illustrationen, Diagramme 24 cmInhaltstyp:

Text

Medientyp:

ohne Hilfsmittel zu benutzen

Datenträgertyp:

Band

ISBN:

9783031299728

Schlagwörter:

Andere physische Formen: Kein Titel; Erscheint auch als: Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block StructureDDC-Klassifikation:

515.353 23

Andere Klassifikation:

35J25
42B35
47A60
42B30
42B37
31.45
31.35

Online-Ressourcen:

zbMATH Review

Zusammenfassung: Summary: We propose a variational approach to solve Cauchy problems for parabolic equations and systems independently of regularity theory for solutions. This produces a universal and conceptually simple construction of fundamental solution operators (also called propagators) for which we prove L2 off-diagonal estimates, which is new under our assumptions. In the special case of systems for which pointwise local bounds hold for weak solutions, this provides Gaussian upper bounds for the corresponding fundamental solution. In particular, we obtain a new proof of Aronson’s estimates for real equations. The scheme is general enough to allow systems with higher order elliptic parts on full space or second order elliptic parts on Sobolev spaces with boundary conditions. Another new feature is that the control on lower order coefficients is within critical mixed time-space Lebesgue spaces or even mixed Lorentz spaces.Andere Ausgaben: Erscheint auch als (Online-Ausgabe): / Auscher, Pascal: Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure

Exemplare ( 1 )
Titelinformationen ( 3 )

Exemplare
Medientyp	Aktuelle Bibliothek	Sammlung	Standort	Signatur	Status	Fälligkeitsdatum	Barcode
Buch	Gebäude E2 3 (UdS Campusbibliothek für Informatik und Mathematik)	Campusbibliothek für Informatik und Mathematik (E2 3)	Series (B)	PM 346 (Regal durchstöbern(Öffnet sich unterhalb))	Verfügbar		2202000629887

Regale von HOMEBRANCH: Universität des Saarlandes Fachrichtung Mathematik durchstöbern, Standort: Series (B), Sammlung: Campusbibliothek für Informatik und Mathematik (E2 3) Regalbrowser ausblenden (Regal ausblenden)

Zurück								Weiter
Zurück	PM 343 Cubic forms and the circle method	PM 344 Singular integral operators, quantitative flatness, and boundary problems	PM 345 Mirzakhani's curve counting and geodesic currents	PM 346 Boundary value problems and Hardy spaces for elliptic systems with block structure	PM 347 Coherent sheaves, superconnections, and Riemann-Roch-Grothendieck	PM 348 Isoperimetric inequalities in Riemannian manifolds	PM 349 Noncommutative integration and operator theory	Weiter

Literaturverzeichnis: Seite 301-305

Summary: We propose a variational approach to solve Cauchy problems for parabolic equations and systems independently of regularity theory for solutions. This produces a universal and conceptually simple construction of fundamental solution operators (also called propagators) for which we prove L2 off-diagonal estimates, which is new under our assumptions. In the special case of systems for which pointwise local bounds hold for weak solutions, this provides Gaussian upper bounds for the corresponding fundamental solution. In particular, we obtain a new proof of Aronson’s estimates for real equations. The scheme is general enough to allow systems with higher order elliptic parts on full space or second order elliptic parts on Sobolev spaces with boundary conditions. Another new feature is that the control on lower order coefficients is within critical mixed time-space Lebesgue spaces or even mixed Lorentz spaces.

Auscher, Pascal: Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure