Unique continuation theorems for solutions of partial differential equations and inequalities
Unique local existence of solution in low regularity space of the Cauchy problem for the mKdV equation with periodic boundary condition
Uniqueness and approximation of Solutions of first order non linear equations.
Uniqueness and regularity properties of linear operators and their applications
Uniqueness for first-order hyperbolic systems - with applications to secnd-order elliptic third-order and Maxwell's equations.
Uniqueness for positive solutions of -Laplacian problem in an annulus
Uniqueness in a one-dimensional problem of finding a time-dependent potential.
Uniqueness in Rough Almost Complex Structures, and Differential Inequalities
The study of -holomorphic maps leads to the consideration of the inequations , and . The first inequation is fairly easy to use. The second one, that is relevant to the case of rough structures, is more delicate. The case of vector valued is strikingly different from the scalar valued case. Unique continuation and isolated zeroes are the main topics under study. One of the results is that, in almost complex structures of Hölder class , any -holomorphic curve that is constant on a non-empty...
Uniqueness of the Cauchy problem for convolution equations.
Uniqueness results for the Minkowski problem extended to hedgehogs
The classical Minkowski problem has a natural extension to hedgehogs, that is to Minkowski differences of closed convex hypersurfaces. This extended Minkowski problem is much more difficult since it essentially boils down to the question of solutions of certain Monge-Ampère equations of mixed type on the unit sphere of ℝn+1. In this paper, we mainly consider the uniqueness question and give first results.
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Upper and Lower Solutions Method for Darboux Problem for Fractional Order Implicit Impulsive Partial Hyperbolic Differential Equations
In this paper we investigate the existence of solutions for the initial value problems (IVP for short), for a class of implicit impulsive hyperbolic differential equations by using the lower and upper solutions method combined with Schauder’s fixed point theorem.
Upper bounds for a class of energies containing a non-local term
In this paper we construct upper bounds for families of functionals of the formwhere Δ = div {u}. Particular cases of such functionals arise in Micromagnetics. We also use our technique to construct upper bounds for functionals that appear in a variational formulation of the method of vanishing viscosity for conservation laws.
Valeurs propres d'une classe d'équations différentielles singulières sur une demi-droite
Vanishing non-local regularization of a scalar conservation law.
Variational approach to dynamics of bright solitons in lossy optical fibers.
Variational data assimilation for discrete Burgers equation.
Variational Framework for Assessment of the Left Ventricle Motion
Impairment of left ventricular contractility due to cardiovascular diseases is reflected in left ventricle (LV) motion patterns. An abnormal change of torsion or long axis shortening LV values can help with the diagnosis and follow-up of LV dysfunction. Tagged Magnetic Resonance (TMR) is a widely spread medical imaging modality that allows estimation of the myocardial tissue local deformation. In this work, we introduce a novel variational framework for extracting the left ventricle dynamics from...
Variational iteration method for initial and boundary value problems using He's polynomials.
Variational methods in nonlinear problems