Numerical reconstruction based on Carleman estimates of a source term in a reaction-diffusion equation.

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The proof for null controllability for the linear parabolic heat equation is then achieved in [11] for the case of a coefficient that exhibits jump of arbitrary sign at an

The Carleman estimate (3) allows to give observability estimates that yield results of controllability to the trajectories for classes of semilinear heat equations.. We first state

It is also possible to extend the previous arguments and methods to the boundary null controllability case and to the exact controllability to trajectories (with distributed or

Keywords: one-dimensional wave equation, null controllability, finite element methods, Carleman inequalities.. Mathematics Subject Classification (2010)- 35L10,

The problem is split in two parts: A hyperbolic term solved by using the Hopf and Lax formula and a parabolic term solved by a backward linearized Euler method in time and a

Convergent algorithm based on Carleman esti- mates for the recovery of a potential in the wave equation.... FOR THE RECOVERY OF A POTENTIAL IN

Holding meduc and f educ xed, by how much does sibs have to increase to reduce expected years of education by one year?. (A noninteger answer is acceptable