Generalization of the Sobolev-Lieb-Thirring inequalities and applications to the dimension of attractors

Jean‐Michel Ghidaglia, Martine Marion, Roger Témam

Type: Article

Publication Date: 1988-01-01

Citations: 63

DOI: https://doi.org/10.57262/die/1371747578

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Differential and Integral Equations - View - PDF

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Works That Cite This (53)

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+	Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains	1990	Frédéric Abergel
+	Attractors And Turbulence for Some Combustion Models	1991	Martine Marion
+	PARTLY DISSIPATIVE SEMIGROUPS GENERATED BY THE NAVIER-STOKES SYSTEM ON TWO-DIMENSIONAL MANIFOLDS, AND THEIR ATTRACTORS	1994	Алексей Андреевич Ильин
+	Some bound state problems in quantum mechanics	2007	Dirk Hundertmark
+	On the spectrum of the Stokes operator	2008	Alexei Ilyin
+	Lieb-Thirring inequality for L p norms	2008	С. В. Асташкин
+ PDF Chat	Lieb–Thirring inequalities on some manifolds	2012	Alexei Ilyin
+	LOWER BOUND ON THE DIMENSION OF THE ATTRACTOR FOR THE NAVIER-STOKES EQUATIONS IN SPACE DIMENSION 3	1991	Jean‐Michel Ghidaglia Roger TEMAM
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+	A Simple proof of the generalized Lieb-Thirring inequalities in one-space dimension	1991	A. Eden Ciprian Foiaş

Works Cited by This (13)

Action	Title	Year	Authors
+	Nonlinear Analysis on Manifolds. Monge-Ampère Equations	1982	Thierry Aubin
+	Geometric Measure Theory	1988	Herbert Fédérer
+	Attractors for the Kuramoto-Sivashinsky equations	1985	B. Nicolaenko Bruno Scheurer Roger Témam
+	Les Méthodes directes en théorie des équations elliptiques	1967	Jindřich Nečas Jean Dhombres Marie-Ève Maillé Philippe Robba
+	Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities	2006	Élliott H. Lieb Walter Thirring
+	Groups of Diffeomorphisms and the Motion of an Incompressible Fluid	1970	David G. Ebin Jerrold E. Marsden
+ PDF Chat	On characteristic exponents in turbulence	1984	Élliott H. Lieb
+	On the Fractal Dimension of Attractors for Viscous Incompressible Fluid Flows	1986	Jean‐Michel Ghidaglia
+	Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I	1959	Shmuel Agmon Avron Douglis Louis Nirenberg
+ PDF Chat	Some mathematical questions related to the mhd equations	1983	Michel Sermange Roger Témam