Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II
indgår i PNLDE Subseries in Control serien
- Indbinding:
- Paperback
- Sideantal:
- 560
- Udgivet:
- 23. april 2023
- Udgave:
- 23001
- Størrelse:
- 178x30x254 mm.
- Vægt:
- 1040 g.
- 8-11 hverdage.
- 10. december 2024
På lager
Normalpris
Abonnementspris
- Rabat på køb af fysiske bøger
- 1 valgfrit digitalt ugeblad
- 20 timers lytning og læsning
- Adgang til 70.000+ titler
- Ingen binding
Abonnementet koster 75 kr./md.
Ingen binding og kan opsiges når som helst.
- 1 valgfrit digitalt ugeblad
- 20 timers lytning og læsning
- Adgang til 70.000+ titler
- Ingen binding
Abonnementet koster 75 kr./md.
Ingen binding og kan opsiges når som helst.
Beskrivelse af Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II
This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation. Where the first volume derived these estimates in regular open sets in Euclidean space and Dirichlet boundary conditions, here they are extended to Riemannian manifolds and more general boundary conditions.
The book begins with the study of Lopatinskii-Sapiro boundary conditions for the Laplace-Beltrami operator, followed by derivation of Carleman estimates for this operator on Riemannian manifolds. Applications of Carleman estimates are explored next: quantified unique continuation issues, a proof of the logarithmic stabilization of the boundary-damped wave equation, and a spectral inequality with general boundary conditions to derive the null-controllability result for the heat equation. Two additional chapters consider some more advanced results on Carleman estimates. The final part of the book is devoted to exposition of some necessary background material: elements of differential and Riemannian geometry, and Sobolev spaces and Laplace problems on Riemannian manifolds.
The book begins with the study of Lopatinskii-Sapiro boundary conditions for the Laplace-Beltrami operator, followed by derivation of Carleman estimates for this operator on Riemannian manifolds. Applications of Carleman estimates are explored next: quantified unique continuation issues, a proof of the logarithmic stabilization of the boundary-damped wave equation, and a spectral inequality with general boundary conditions to derive the null-controllability result for the heat equation. Two additional chapters consider some more advanced results on Carleman estimates. The final part of the book is devoted to exposition of some necessary background material: elements of differential and Riemannian geometry, and Sobolev spaces and Laplace problems on Riemannian manifolds.
Brugerbedømmelser af Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II
Giv din bedømmelse
For at bedømme denne bog, skal du være logget ind.Andre købte også..
Find lignende bøger
Bogen Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II findes i følgende kategorier:
- Business og læring
- Reference, information og tværfaglige emner > Forskning og information: generelt > Informationsteori > Kybernetik og systemteori
- Matematik og naturvidenskab > Matematik > Regning og matematisk analyse > Funktionsanalyse og transformation
- Matematik og naturvidenskab > Matematik > Regning og matematisk analyse > Differentialregning og differentialligninger
© 2024 Pling BØGER Registered company number: DK43351621