Scattering, scattering inverse et équations d'évolutions non linéaires
Scattering, transformations spectrales et équations d'évolution non linéaires
Semidiscrete central difference method in time for determining surface temperatures.
Short-time Asymptotics of the two-Dimensional wave Equation for an Annular Vibrating Membrane with Piecewise smooth Boundary Conditions
Slowly oscillating solutions of a parabolic inverse problem: boundary value problems.
Solitonová řešení a metoda obráceného rozptylu
Solvability of inverse extremal problems for stationary heat and mass transfer equations.
Solvability of the inverse problem of finding thermal conductivity.
Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method
We consider the inverse nodal problem for Sturm-Liouville (S-L) equation with frozen argument. Asymptotic behaviours of eigenfunctions, nodal parameters are represented in two cases and numerical algorithms are produced to solve the given problems. Subsequently, solution of inverse nodal problem is calculated by the second Chebyshev wavelet method (SCW), accuracy and effectiveness of the method are shown in some numerical examples.
Some asymptotic formulae for spectra of a general convex domain.
Some classes of inverse evolution problems for parabolic equations.
Some generalizations in the mathematical developments of the theory of the geodetic overdetermined problems.
Two particular cases of the overdetermined gravimetry-gradiometry problem are discussed: (i) the case of a latitude-dependant statistical weight for gradiometric data, corresponding to a data distribution coming from satellite polar orbits, (ii) the case of a volume distribution, instead of a surface distribution, for satellite gradiometric data. In both cases a discussion of numerical methods for solving the problem with realistic data is started; for case (i), an analytic solution is found under...
Some Hölder-logarithmic estimates on Hardy-Sobolev spaces
We prove some optimal estimates of Hölder-logarithmic type in the Hardy-Sobolev spaces , where , and is either the open unit disk or the annular domain , of the complex space . More precisely, we study the behavior on the interior of of any function belonging to the unit ball of the Hardy-Sobolev spaces from its behavior on any open connected subset of the boundary of with respect to the -norm. Our results can be viewed as an improvement and generalization of those established...
Some inverse and control problems for fluids
This paper deals with some inverse and control problems for the Navier-Stokes and related systems. We will focus on some particular aspects that have recently led to interesting (theoretical and numerical) results: geometric inverse problems, Eulerian and Lagrangian controllability and vortex reduction oriented to shape optimization.
Some mathematical problems in inverse potential scattering
Some problems in inverse scattering theory
Some remarks on the multi-dimensional Borg-Levinson theorem
Stability estimates for an inverse problem for the linear Boltzmann equation.
In this paper we consider the inverse problem of recovering the total extinction coefficient and the collision kernel for the time-dependent Boltzmann equation via boundary measurements. We obtain stability estimates for the extinction coefficient in terms of the albedo operator and also an identification result for the collision kernel.
Stability estimates of an inverse problem for the stationary transport equation
Stability of a numerical method for solving the 3 D inverse scattering problem with fixed energy data.