Results 11 to 20 of about 651 (202)
On controllability of waves and geometric Carleman estimates [PDF]
Séminaire Laurent Schwartz — EDP et applications, 2019 The present article is a brief summary of the paper [27], which established new Carleman and observability estimates for a general class of linear wave equations. The main features of these estimates are that (a) they apply to a fully general class of time-dependent domains, with timelike moving boundaries, (b) they apply to linear wave equations in ...
Arick Shao
openalex +2 more sources
Discrete Carleman estimates and three balls inequalities [PDF]
Calculus of Variations and Partial Differential Equations, 2021 AbstractWe prove logarithmic convexity estimates and three balls inequalities for discrete magnetic Schrödinger operators. These quantitatively connect the discrete setting in which the unique continuation property fails and the continuum setting in which the unique continuation property is known to hold under suitable regularity assumptions.
Fernández-Bertolin, Aingeru +3 more
openaire +6 more sources
Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. Part I: Carleman estimates [PDF]
Journal of Inverse and Ill-posed Problems, 2022 Abstract In this paper, we consider Carleman estimates and inverse problems for the coupled quantitative thermoacoustic equations. In part I, we establish Carleman estimates for the coupled quantitative thermoacoustic equations by assuming that the coefficients satisfy suitable conditions and taking the usual weight function
Shumin Li, Yunxia Shang
openaire +2 more sources
Resolvent Estimates for the Lamé Operator and Failure of Carleman Estimates [PDF]
Journal of Fourier Analysis and Applications, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kwon, Yehyun, Lee, Sanghyuk, Seo, Ihyeok
openaire +1 more source
Carleman estimates for stratified media
Journal of Functional Analysis, 2011 Let \(\Omega=\Omega'\times (-H,H)\) be a cylinder in \(\mathbb R^n\), where \(\Omega'\) is a nonempty bounded set in \(\mathbb R^{n-1}\). Let \(S=\Omega'\times\{0\}\) be an interface where coefficients and functions may jump. The authors prove Carleman estimates for anisotropic elliptic and parabolic operators with discontinuities on \(S\).
Assia Benabdallah +2 more
openalex +4 more sources
Carleman Estimates and Absence of Embedded Eigenvalues [PDF]
Communications in Mathematical Physics, 2006 26 ...
Koch, Herbert, Tataru, Daniel
openaire +3 more sources
Some Estimates For The Carleman Function
The American Journal of Applied sciences, 2021 In this article we consider Carlеman’s functions, to find integral representation for the polygarmonious functions defined in unbounded domain of Euclidean space which ...
Ashurova Zebiniso Raximovna +1 more
openaire +1 more source
Carleman estimate for the Navier–Stokes equations and applications [PDF]
Inverse Problems, 2022 Abstract For linearized Navier–Stokes equations, we first derive a Carleman estimate with a regular weight function. Then we apply it to establish conditional stability for the lateral Cauchy problem and finally we prove conditional stability estimates for the inverse source problem of determining a spatially varying divergence-free ...
Oleg Y Imanuvilov +2 more
openaire +4 more sources
On non-quasianalytic classes of infinitely differentiable functions
Учёные записки Казанского университета: Серия Физико-математические науки, 2022 This article investigates the connection between two positive logarithmically convex sequences {M̂n} and {Mn}, which define respectively the Carleman classes of functions infinitely differentiable on the set J and sequences {bn} specifying the values of ...
G.S. Balashova
doaj +1 more source
Local exact controllability of the age-dependent population dynamics with diffusion
Abstract and Applied Analysis, 2001 We investigate the local exact controllability of a linear age and space population dynamics model where the birth process is nonlocal. The methods we use combine the Carleman estimates for the backward adjoint system, some estimates in the theory of ...
Bedr'eddine Ainseba, Sebastian Anita
doaj +1 more source