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Intrinsic nonlinear multiscale image decomposition: A 2D empirical mode decom...
International audience -
Shape derivatives of boundary integral operators in electromagnetic scatterin...
International audience -
On the uniform Poincaré inequality
huit pages -
Well-posedness of The Prandtl Equation in Sobolev Spaces
We develop a new approach to study the well-posedness theory of the Prandtl equation in Sobolev spaces by using a direct energy method under a monotonicity condition... -
Properties of convergence in Dirichlet structures
In univariate settings, we prove a strong reinforcement of the energy image density criterion for local Dirichlet forms admitting square field operators. This... -
Landau-Kolmogorov inequalities in Sobolev spaces
This thesis is devoted to Landau-Kolmogorov type inequalities in L2 norm. The measures which are used, are the Hermite, the Laguerre-Sonin and the Jacobi ones. These... -
Oscillating waves and optimal smoothing effect for one-dimensional nonlinear ...
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Remarks on the Cauchy problem for the one-dimensional quadratic (fractional) ...
We prove that the Cauchy problem associated with the one dimensional quadratic (fractional) heat equation: $u_t=D_x^{2\alpha} u \mp u^2,\; t\in (0,T),\; x\in \R$ or $... -
Solvability in the sense of sequences to some non-Fredholm operators
International audience -
Sobolev and Hardy-Littlewood-Sobolev inequalities
This paper is devoted to improvements of Sobolev and Onofri inequalities. The additional terms involve the dual counterparts, i.e. Hardy-Littlewood-Sobolev type... -
A new function space and applications
International audience -
Spectral decay of the sinc kernel operator and approximations by Prolate Sphe...
For fixed $c,$ the Prolate Spheroidal Wave Functions (PSWFs) $\psi_{n, c}$ form a basis with remarkable properties for the space of band-limited functions with...
