Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I

Name: Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I
Brand: Springer Nature
SKU: 9783030886738
Availability: InStock

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I

Brand

Springer Nature

Manufacturer

N/A

Part Number

GTIN

9783030886738

Condition

New

0 Reviews

0 Questions | 0 Answers

Product Description

This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including the stabilization property of the damped wave equation and the null-controllability of the heat equation. All analysis is performed in the case of open sets in the Euclidean space; a second volume will extend this treatment to Riemannian manifolds. The first three chapters illustrate the derivation of Carleman estimates using pseudo-differential calculus with a large parameter. Continuation issues are then addressed, followed by a proof of the logarithmic stabilization of the damped wave equation by means of two alternative proofs of the resolvent estimate for the generator of a damped wave semigroup. The authors then discuss null-controllability of the heat equation, its equivalence with observability, and how the spectral inequality allows one to either construct a control function or prove the observability inequality. The final part of the book is devoted to the exposition of some necessary background material: the theory of distributions, invariance under change of variables, elliptic operators with Dirichlet data and associated semigroup, and some elements from functional analysis and semigroup theory.

Available Colors

N/A

Available Sizes

N/A

1 Offer Price Range: $119.00 - $119.00

BEST PRICE

Single Product Purchase

$107.10

@ Link.springer.com with extra coupon Get Coupon & BUY

Price Comparison

Seller	Contact Seller	List Price	On Sale	Shipping	Best Promo	Final Price	Volume Discount	Financing	Availability	Seller's Page
BEST PRICE 1 Product Purchase @ Link.springer.com Rate Seller This functionality is for registered users only. Go to Login/Register		$119.00	$119.00		10% OFF This deals requires coupon Get Code Here your10off @ Link.springer.com Deals Ends 31/08/2025	$107.10		See Site	In stock	Visit Store