Numerical discussion of phase-lag mixed integral equations with general discontinuous kernels
In this research, the effect of phase-lag time on an integro-differential equation in position and time is studied in L2Ω×C0,T ...
Abeer M. Al-Bugami, M. A. Abdou
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Optimal Flat Functions in Carleman-Roumieu Ultraholomorphic Classes in Sectors. [PDF]
Jiménez-Garrido J +3 more
europepmc +1 more source
On an Approximate Solution of the Cauchy Problem for Systems of Equations of Elliptic Type of the First Order. [PDF]
Juraev DA, Shokri A, Marian D.
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Carleman Estimates for the Schrödinger Operator. Applications to Quantitative Uniqueness
International audienceOn a closed manifold, we give a quantitative Carleman estimate on the Schrödinger operator. We then deduce quantitative uniqueness results for solutions to the Schrödinger equation using doubling estimates.
Bakri, Laurent
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CARLEMAN ESTIMATE FOR LINEAR VISCOELASTICITY EQUATIONS AND AN INVERSE SOURCE PROBLEM
We consider the linear system of viscoelasticity with the homogeneous Dirichlet boundary condition. First we prove a Carleman estimate with boundary values of solutions of the viscoelasticity system.
Imanuvilov O.Y., Yamamoto M.
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Dynamics-aware Representation Learning via Multivariate Time Series Transformers. [PDF]
Potter M +3 more
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Carleman estimate for the Schrödinger equation and application to magnetic inverse problems
In this paper, we prove Lipschitz stable determination of the complex-valued electric potential and the direction of the magnetic field appearing in the dynamic Schrödinger equation with static coefficients, by finitely many partial boundary measurements
Kian Y. +3 more
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Solution of nonlinear mixed integral equation via collocation method basing on orthogonal polynomials. [PDF]
Jan AR.
europepmc +1 more source
Heat kernels of the discrete Laguerre operators. [PDF]
Kostenko A.
europepmc +1 more source
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion. [PDF]
Disconzi MM, Ifrim M, Tataru D.
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