New PDF release: Carleman Estimates and Applications to Uniqueness and

By Feruccio Colombini, Claude Zuily

ISBN-10: 0817642307

ISBN-13: 9780817642303

The articles during this quantity mirror a next improvement after a systematic assembly entitled Carleman Estimates and keep an eye on thought, held in Cartona in September 1999. The 14 research-level articles, written through specialists, specialize in new effects on Carleman estimates and their purposes to strong point and controlla bility of partial differential equations and platforms. the most issues are specified continuation for elliptic PDEs and platforms, con trol thought and inverse difficulties. New effects on powerful forte for moment or greater order operators are explored intimately in different papers. within the quarter of keep an eye on conception. the reader will locate functions of Carleman estimates to stabiliza tion, observability and designated keep watch over for the wave and the SchrOdinger equations. a last paper offers a difficult record of open difficulties concerning keep watch over lability of linear and sernilinear warmth equations. The papers comprise exhaustive and primarily self-contained proofs at once ac cessible to mathematicians, physicists, and graduate scholars with an undemanding historical past in PDEs. individuals are L. Aloui, M. Bellassoued, N. Burq, F. Colombini, B. Dehman, C. Grammatico, M. Khenissi, H. Koch, P. Le Borgne, N. Lerner, T. Nishitani. T. Okaji, K.D. Phung, R. Regbaoui, X. Saint Raymond, D. Tataru, and E. Zuazua.

Show description

Read Online or Download Carleman Estimates and Applications to Uniqueness and Control Theory (Progress in Nonlinear Differential Equations and Their Applications) PDF

Best differential equations books

Download e-book for iPad: Nonlinear Ordinary Differential Equations: Problems and by D. W. Jordan

An incredible significant other to the hot 4th variation of Nonlinear usual Differential Equations through Jordan and Smith (OUP, 2007), this article comprises over 500 difficulties and fully-worked strategies in nonlinear differential equations. With 272 figures and diagrams, topics coated comprise section diagrams within the airplane, category of equilibrium issues, geometry of the part aircraft, perturbation equipment, compelled oscillations, balance, Mathieu's equation, Liapunov equipment, bifurcations and manifolds, homoclinic bifurcation, and Melnikov's procedure.

Download e-book for iPad: Harmonic analysis and partial differential equations: in by Michael Christ, Carlos E. Kenig, Cora Sadosky

Alberto P. Calderón (1920-1998) used to be certainly one of this century's major mathematical analysts. His contributions, characterised via nice originality and intensity, have replaced the way in which researchers technique and look at every little thing from harmonic research to partial differential equations and from sign processing to tomography.

Randomly Forced Nonlinear Pdes and Statistical Hydrodynamics - download pdf or read online

This ebook supplies an account of contemporary achievements within the mathematical conception of two-dimensional turbulence, defined via the 2nd Navier-Stokes equation, perturbed via a random strength. the most effects provided the following have been bought over the last 5 to 10 years and, in past times, were on hand merely in papers within the basic literature.

Peter E. Kloeden, Christian Pötzsche's Nonautonomous Dynamical Systems in the Life Sciences PDF

Nonautonomous dynamics describes the qualitative habit of evolutionary differential and distinction equations, whose right-hand part is explicitly time based. Over fresh years, the idea of such structures has built right into a hugely lively box concerning, but recognizably special from that of classical self reliant dynamical structures.

Extra info for Carleman Estimates and Applications to Uniqueness and Control Theory (Progress in Nonlinear Differential Equations and Their Applications)

Sample text

Our approach, consisting of diagonalizing the system near the boundary is the main technical part of this work. 1 Reduction of the problems Reduction of the Laplacian be a bounded smooth domain of R" with boundary 0f10 of class Ccc. 0, we denote by x = the system of normal geodesic coordinates where x' E and E IR are characterized by Let = = > 0}; dist(x',x) = dist(x,Oflo). Carleman Estimate and Decay Rate 25 In this system of coordinates the principal symbol of the Laplace operator takes the form = tt(x + r(x.

Melrose. Singularities and energy decay in acoustical scattering. Duke Math. J. 46 (1979). 43—59. [12] P. Morse and H. Feshbach. Methods of Theoretical Physics. McGrawHill. New York. 1953. B. Meirose and 3. Sjöstrand. Singularities of boundary value problems I, Comm Pure Appi. Math. 31 (1978), 593-617. S. Morawetz, The decay of solutions of the exterior initial-boundary value problem for the wave equation, comm. Pure Appl. Math. 28 (1975), 229—264. V. Ralston. Solutions of the wave equation with localized energy.

N); moreover the eigenvalues of the principal symbol of N have negative imaginary parts. 2 — A)]. 2. Let 1Z = diag(O. e(x,(r)) and we have C< i) ii) + > Cdiag(0. Id) in on = 0} n suppXo. 12) M. 10) we have = —21m(op(1Z)op(fl)w, w) + 21m(op(R)w. F) + )w, w). 1). 2 r) First we prove that for any (x. the restriction 8+ of B in r) is an isomorphism. The eigenvalues of A are = with multiplicity respectivly (n — = —irp' ± and Now let X = (X1, X2) E 20; then X satisfies 1) and 1. Xi=0. ,n_2} 418 ) . 21) 0.

Download PDF sample

Carleman Estimates and Applications to Uniqueness and Control Theory (Progress in Nonlinear Differential Equations and Their Applications) by Feruccio Colombini, Claude Zuily

by Richard

Rated 4.46 of 5 – based on 50 votes