Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives.
Nilpotent Lie groups and eigenfunction expansions of Schrödinger operators II
Non holonomie dans un problème de diffraction
Non hypoellipticité analytique pour des opérateurs à caractéristiques doubles
Nonexistence of solutions of some inequalities with gradient nonlinearities and fractional Laplacian
We obtain sufficient conditions for nonexistence of nontrivial solutions for some classes of nonlinear partial differential inequalities containing the fractional powers of the Laplace operator.
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...