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Displaying 1 – 7 of 7

Sobolev and isoperimetric inequalities for Dirichlet forms on homogeneous spaces

Marco Biroli, Umberto Mosco (1995)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We prove local embeddings of Sobolev and Morrey type for Dirichlet forms on spaces of homogeneous type. Our results apply to some general classes of selfadjoint subelliptic operators as well as to Dirichlet operators on certain self-similar fractals, like the Sierpinski gasket. We also define intrinsic BV spaces and perimeters and prove related isoperimetric inequalities.

Solution of mathematical models by localization

B. Stanković (2002)

Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques

Solution operators for convolution equations on the germs of analytic functions on compact convex sets in $ℂ^{N}$

S. Melikhov, Siegfried Momm (1995)

Studia Mathematica

$G \subset ℂ^{N}$ is compact and convex it is known for a long time that the nonzero constant coefficients linear partial differential operators (of finite or infinite order) are surjective on the space of all analytic functions on G. We consider the question whether solutions of the inhomogeneous equation can be given in terms of a continuous linear operator. For instance we characterize those sets G for which this is always the case.

Displaying 1 – 7 of 7

Sobolev and isoperimetric inequalities for Dirichlet forms on homogeneous spaces

Solution of mathematical models by localization

Solution operators for convolution equations on the germs of analytic functions on compact convex sets in $ℂ^{N}$

Solution to the triharmonic heat equation.

Some priori estimates about solutions to nonhomogeneous $A$ -harmonic equations.

Sur une notion de limite d'une ultradistribution en un point. I

Symmetry properties for the extremals of the Sobolev trace embedding

Currently displaying 1 – 7 of 7

Displaying 1 – 7 of 7

Sobolev and isoperimetric inequalities for Dirichlet forms on homogeneous spaces

Solution of mathematical models by localization

Solution operators for convolution equations on the germs of analytic functions on compact convex sets in ℂ N

Solution to the triharmonic heat equation.

Some priori estimates about solutions to nonhomogeneous A -harmonic equations.

Sur une notion de limite d'une ultradistribution en un point. I

Symmetry properties for the extremals of the Sobolev trace embedding

Currently displaying 1 – 7 of 7

Solution operators for convolution equations on the germs of analytic functions on compact convex sets in $ℂ^{N}$

Some priori estimates about solutions to nonhomogeneous $A$ -harmonic equations.