Nonlinear pseudodifferential equations on a half-line with large initial data.
Nonlinear stationary surface waves above an underwater ridge.
Normal forms of real symmetric systems with multiplicity
Nouvelles estimations pour les opérateurs pseudo-différentiels
Noyaux d'une classe d'opérateurs pseudo-différentiels sur l'espace de Fock, et applications
Numerical Approximation of a Fractional-In-Space Diffusion Equation (II) – with Nonhomogeneous Boundary Conditions
2000 Mathematics Subject Classification: 26A33 (primary), 35S15In this paper, a space fractional diffusion equation (SFDE) with nonhomogeneous boundary conditions on a bounded domain is considered. A new matrix transfer technique (MTT) for solving the SFDE is proposed. The method is based on a matrix representation of the fractional-in-space operator and the novelty of this approach is that a standard discretisation of the operator leads to a system of linear ODEs with the matrix raised to the...
Numerical Approximation of a Fractional-In-Space Diffusion Equation, I
2000 Mathematics Subject Classification: 26A33 (primary), 35S15 (secondary)This paper provides a new method and corresponding numerical schemes to approximate a fractional-in-space diffusion equation on a bounded domain under boundary conditions of the Dirichlet, Neumann or Robin type. The method is based on a matrix representation of the fractional-in-space operator and the novelty of this approach is that a standard discretisation of the operator leads to a system of linear ODEs with the matrix...
On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem
We consider a class of nonlocal operators associated with an action of a compact Lie group G on a smooth closed manifold. Ellipticity condition and Fredholm property for elliptic operators are obtained. This class of operators is studied using pseudodifferential uniformization, which reduces the problem to a pseudodifferential operator acting in sections of infinite-dimensional bundles.
On a Class of Pseudodifferential Operators with Double Characteristics.
On a class of weighted function spaces and related pseudodifferential operators
On a complete initial-boundary value problem for parabolic pseudo-differential operators.
On a general type of -adic parabolic equations.
On a proof of the boundedness and nuclearity of pseudodifferential operators in
On a symbol class of elliptic pseudodifferential operators
On a Trace Functional for Formal Pseudo-Differential Operators and the Symplectic Structure of the Korteweg-Devries Type Equation.
On asymptotic series of symbols and of general pseudo-differential operators
On Carleman Estimates for Pseudo-Differential Operators.
On Continuity of Singular Integral Operators in Sobolev Spaces.
On convergence of the polynomial collocation method for singular integral equations and periodic pseudodifferential equations.
On diamagnetism and de Haas-van Alphen effect