Proximité évanescente. II. Équations fonctionnelles pour plusieurs fonctions analytiques
Prox-regularization and solution of ill-posed elliptic variational inequalities
In this paper new methods for solving elliptic variational inequalities with weakly coercive operators are considered. The use of the iterative prox-regularization coupled with a successive discretization of the variational inequality by means of a finite element method ensures well-posedness of the auxiliary problems and strong convergence of their approximate solutions to a solution of the original problem. In particular, regularization on the kernel of the differential operator and regularization...
Pseudo differential operators with negative definite symbols of variable order.
One way to represent the generator of a Markov process is given by pseudo differential operators. Above all this is due to the fact that the generator satisfies the so-called positive maximum principle (...).
Pseudodifferential operators and Hardy kernels on
Pseudodifferential Operators and Weighted Normed Symbol Spaces
2000 Mathematics Subject Classification: 35S05.This work is the continuation of two earlier ones by the author and stimulated by many more recent contributions. We develop a very general calculus of pseudodifferential operators with microlocally defined normed symbol spaces. The goal was to attain the natural degree of generality in the case when the underlying metric on the cotangent space is constant. We also give sufficient conditions for our operators to belong to Schatten–von Neumann classes....
Pseudo-Differential Operators in a Wave Diffraction Problem with Impedance Conditions
Mathematics Subject Classification: 35J05, 35J25, 35C15, 47H50, 47G30We consider an impedance boundary-value problem for the Helmholtz equation which models a wave diffraction problem with imperfect conductivity on a strip. Pseudo-differential operators are used to deal with this wave diffraction problem. Therefore, single and double layer potentials allow a reformulation of the problem into a system of integral equations. By using operator theoretical methods, the well-posedness of the problem...
Pseudodifferential operators on non-quasianalytic classes of Beurling type
We introduce pseudodifferential operators (of infinite order) in the framework of non-quasianalytic classes of Beurling type. We prove that such an operator with (distributional) kernel in a given Beurling class is pseudo-local and can be locally decomposed, modulo a smoothing operator, as the composition of a pseudodifferential operator of finite order and an ultradifferential operator with constant coefficients in the sense of Komatsu, both operators with kernel in the same class . We also...
Pseudodifferential Operators on SU(2).
Pseudo-differential Operators with Double Characteristics.
Pseudodifferential operators with generalized symbols and regularity theory.
Pseudodifferential operators with multiple characteristics and Gevrey classes
Pseudo-differential operators with positive symbols
Pseudo-differential operators with symbols admitting negative values
Pseudodifferential parametrices of infinite order for SG-hyperbolic problems.
Pseudodifferenziali definiti su aperti di una cosfera fibrata
Pseudoholomorphic strips in symplectisations I : asymptotic behavior
Pseudo-monotonicity and degenerate elliptic operators of second order.
Pseudomonotonicity and nonlinear hyperbolic equations
In this paper we consider a nonlinear hyperbolic boundary value problem. We show that this problem admits weak solutions by using a lifting result for pseudomonotone operators and a surjectivity result concerning coercive and monotone operators.
Pseudo-processes governed by higher-order fractional differential equations.
Pseudo-spectrum for a class of semi-classical operators
We study in this paper a notion of pseudo-spectrum in the semi-classical setting called injectivity pseudo-spectrum. The injectivity pseudo-spectrum is a subset of points in the complex plane where there exist some quasi-modes with a precise rate of decay. For that reason, these values can be considered as some ‘almost eigenvalues’ in the semi-classical limit. We are interested here in studying the absence of injectivity pseudo-spectrum, which is characterized by a global a priori estimate. We prove...