Results 151 to 160 of about 1,208,780 (193)

Carleman-type estimates and the Neumann problem

Journal of Differential Geometry, 1974
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Global Carleman Estimates for Waves and Applications [PDF]

Communications in Partial Differential Equations, 2013
31 ...
Maya de Buhan, Lucie Coline Baudouin, Sylvain Ervedoza   +2 more
exaly   +4 more sources

Carleman Estimates for a Class of Degenerate Parabolic Operators [PDF]

SIAM Journal on Control and Optimization, 2008
Given $\alpha \in [0,2)$ and $f \in L^2 ((0,T)\times(0,1))$, we derive new Carleman estimates for the degenerate parabolic problem $w_t + (x^\alpha w_x) _x =f$, where $(t,x) \in (0,T) \times (0,1)$, associated to the boundary conditions $w(t,1)=0$ and $w(t,0)=0$ if $0 \leq \alpha
Patrick Martinez, Piermarco Cannarsa
exaly   +4 more sources

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On Carleman Estimates for Hyperbolic Equations

Asymptotic Analysis, 2002
We prove a Carleman inequality for the second order hyperbolic equation in the cylinder Q with the norm of right‐hand side taken in the space (W 1 2 (Q)) * .
Oleg Yu Imanuvilov
exaly   +3 more sources

Carleman Estimates of Refined Stochastic Beam Equations and Applications

SIAM Journal on Control and Optimization, 2022
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Yongyi Yu, Ji-Feng Zhang
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Carleman Estimate for a Hyperbolic-Parabolic System

Differential Equations, 2019
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Inverse problems and Carleman estimates

Inverse Problems, 1992
The author describes the current state of the method of Carleman type estimates suggested by \textit{A. L. Bukhgejm} and himself [Dokl. Akad. Nauk SSSR 260, 269-272 (1981; Zbl 0497.35082)]. This method is based on powerful estimates of solutions of PDE in weighted Sobolev spaces which are a classical tool in the uniqueness of continuation study as well
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Carleman Estimates for Second-Order Hyperbolic Equations

Siberian Mathematical Journal, 2006
Summary: In the space of variables \((x,t)\in\mathbb R^{n+1}\), we consider a linear second-order hyperbolic equation with coefficients depending only on \(x\). Given a domain \(D\subset\mathbb R^{n+1}\) whose projection to the \(x\)-space is a compact domain \(\Omega\), we consider the question of construction of a stability estimate for a solution to
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Carleman Type Estimates and Their Applications

2004
In these lecture notes we derive Carleman type estimates for second order linear partial differential operators and show some of their applications to the uniqueness in the Cauchy problem, approximate and exact controllability, and inverse problems. In section 2 we discuss pseudo-convexity and derive Carleman type estimates with boundary terms.
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Carleman Estimates and Controllability of Linear Stochastic Heat Equations

Applied Mathematics and Optimization, 2003
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Barbu, V, Rascanu, A, TESSITORE, GIANMARIO   +2 more
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