JEAN MICHEL
RAKOTOSON
Researcher to 2007
Publications (75) JEAN MICHEL RAKOTOSON publications
2008
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A generalized thin-film equation in multidimensional space
Nonlinear Analysis, Theory, Methods and Applications, Vol. 69, Núm. 4, pp. 1268-1286
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Higher order equations related to thin films: Blow-up and global existence, the influence of the initial data
Journal of Differential Equations, Vol. 244, Núm. 11, pp. 2693-2740
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Local strong solutions of a parabolic system related to the boussinesq approximation for buoyancy-driven flow with viscous heating
Advances in Differential Equations, Vol. 13, Núm. 9-10, pp. 977-1000
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Rearrangement relatif :: un instrument de estimations dans les problemes aux limites
New York : Springer, 2008
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Remarks on the nonviscous shallow water equations
Indiana University Mathematics Journal, Vol. 57, Núm. 6, pp. 2969-2998
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Some estimates in G Γ (p, m, w) spaces
Journal of Mathematical Analysis and Applications, Vol. 340, Núm. 2, pp. 793-805
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The generalized thin film equation with periodic-domain conditions
Applied Mathematics Letters, Vol. 21, Núm. 1, pp. 101-104
2007
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A parabolic system involving a quadratic gradient term related to the Boussinesq approximation
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM ), Vol. 101, Núm. 1, pp. 113-118
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On some Bernoulli free boundary type problems for general elliptic operators
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 137, Núm. 5, pp. 895-911
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Relative rearrangement and Lebesgue spaces Lp (ṡ) with variable exponent
Journal des Mathematiques Pures et Appliquees, Vol. 88, Núm. 6, pp. 506-521
2006
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Compactness, interpolation inequalities for small Lebesgue-Sobolev spaces and applications
Calculus of Variations and Partial Differential Equations, Vol. 25, Núm. 2, pp. 187-203
2005
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Qualitative properties of some equations related to fluid mechanics
Nonlinear Analysis, Theory, Methods and Applications, Vol. 60, Núm. 3, pp. 501-514
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Remarks on global existence for a family of inequalities and applications to Mullins and Navier-Stokes equations
Advances in Differential Equations, Vol. 10, Núm. 1, pp. 1-18
2004
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An elliptic-parabolic equation with a nonlocal term for the transient regime of a plasma in a Stellarator
Journal of Differential Equations, Vol. 198, Núm. 2, pp. 321-355
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Local regularity of the monotone rearrangement
Applied Mathematics Letters, Vol. 17, Núm. 3, pp. 353-355
2003
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Mathematical study of the equation describing the evolution of the surface of a film
Asymptotic Analysis, Vol. 33, Núm. 1, pp. 67-91
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New properties of small Lebesgue spaces and their applications
Mathematische Annalen, Vol. 326, Núm. 3, pp. 543-561
2002
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Petits espaces de Lebesgue et quelques applications
Comptes Rendus Mathematique, Vol. 334, Núm. 1, pp. 23-26
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Regularity and uniqueness results in grand Sobolev spaces for parabolic equations with measure data
Discrete and Continuous Dynamical Systems, Vol. 8, Núm. 4, pp. 893-906
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Weakly coupled dynamical systems and applications
Asymptotic Analysis, Vol. 30, Núm. 2, pp. 161-185