J
Jean Dolbeault
Researcher at Paris Dauphine University
Publications - 308
Citations - 7911
Jean Dolbeault is an academic researcher from Paris Dauphine University. The author has contributed to research in topics: Sobolev inequality & Nonlinear system. The author has an hindex of 42, co-authored 293 publications receiving 7072 citations. Previous affiliations of Jean Dolbeault include Paul Sabatier University & PSL Research University.
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Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities
TL;DR: In this paper, the authors take advantage of a rigidity result for the equation satisfied by an extremal function associated with a special case of the Caffarelli-Kohn-Nirenberg inequalities to get a symmetry result for a larger set of inequalities.
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On the one-dimensional parabolic obstacle problem with variable coefficients
TL;DR: In this paper, the continuity results of the time derivative of the solution to the one-dimensional parabolic obstacle problem with variable coefficients were studied and applied to the smooth fit principle in numerical analysis and in financial mathematics.
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Symmetry and symmetry breaking: rigidity and flows in elliptic PDEs
TL;DR: In this paper, a series of sharp results of symmetry of nonnegative solutions of nonlinear elliptic differential equations associated with minimization problems on Euclidean spaces or manifolds are reviewed.
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Intermediate Asymptotics in L1 for General Nonlinear Diffusion Equations
TL;DR: It is proved intermediate asymptotics results in L1 for general nonlinear diffusion equations which behave like power laws at the origin using relative entropy methods and generalized Sobolev inequalities.
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Hypocoercivity and sub-exponential local equilibria
TL;DR: In this paper, Hypocoercivity methods are applied to linear kinetic equations without any space confinement, when local equilibria have a sub-exponential decay by Nash type estimates, which reflect the behavior of the heat equation obtained in the diffusion limit.