Results 1 to 10 of about 1,641,201 (192)

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 $0 \leq \alpha <1$ or $(x^\alpha w_x)(t,0)=0$ if $1\leq \alpha <2$.
Patrick Martinez, Piermarco Cannarsa
exaly   +4 more sources

The Mean Field Games System: Carleman Estimates, Lipschitz Stability and Uniqueness

Journal of Inverse and Ill-Posed Problems, 2023
An overdetermination is introduced in an initial condition for the second order mean field games system (MFGS). This makes the resulting problem close to the classical ill-posed Cauchy problems for PDEs. Indeed, in such a problem and overdetermination in
Michael Klibanov
exaly   +1 more source

Carleman Estimates and Observability Inequalities for Parabolic Equations With Interior Degeneracy

Advances in Nonlinear Analysis, 2013
We consider a parabolic problem with degeneracy in the interior of the spatial domain, and we focus on Carleman estimates for the associated adjoint problem.
Dimitri Mugnai, Genni Fragnelli
exaly   +2 more sources

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

Progress in Nonlinear Differential Equations and Their Application, 2022
Jerome Le Rousseau, Gilles Lebeau
exaly  

Carleman Estimates for Global Uniqueness, Stability and Numerical Methods for Coefficient Inverse Problems

Journal of Inverse and Ill-Posed Problems, 2013
Michael Klibanov
exaly  

Carleman Estimate With Second Large Parameter for Second Order Hyperbolic Operators in a Riemannian Manifold and Applications in Thermoelasticity Cases

Applicable Analysis, 2012
Masahiro Yamamoto, Mourad Bellassoued
exaly  

Carleman Estimates and Controllability Results for the One-Dimensional Heat Equation With BV Coefficients

Journal of Differential Equations, 2007
Jerome Le Rousseau
exaly  

Null Controllability for a Degenerate Population Model in Divergence Form via Carleman Estimates

Advances in Nonlinear Analysis, 2020
Genni Fragnelli
exaly  

Carleman Estimates for Parabolic Equations With Nonhomogeneous Boundary Conditions

Chinese Annals of Mathematics Series B, 2009
Masahiro Yamamoto, Oleg Yu Imanuvilov
exaly