Displaying similar documents to “On the growth of Sobolev norms for the cubic Szegő equation”

Growing Sobolev norms for the cubic defocusing Schrödinger equation

Zaher Hani, Benoit Pausader, Nikolay Tzvetkov, Nicola Visciglia (2013-2014)

Séminaire Laurent Schwartz — EDP et applications

Similarity:

This text aims to describe results of the authors on the long time behavior of NLS on product spaces with a particular emphasis on the existence of solutions with growing higher Sobolev norms.

Variable Sobolev capacity and the assumptions on the exponent

Petteri Harjulehto, Peter Hästö, Mika Koskenoja, Susanna Varonen (2005)

Banach Center Publications

Similarity:

In a recent article the authors showed that it is possible to define a Sobolev capacity in variable exponent Sobolev space. However, this set function was shown to be a Choquet capacity only under certain assumptions on the variable exponent. In this article we relax these assumptions.

Dimension-invariant Sobolev imbeddings

Miroslav Krbec, Hans-Jürgen Schmeisser (2011)

Banach Center Publications

Similarity:

We survey recent dimension-invariant imbedding theorems for Sobolev spaces.

Hessian determinants as elements of dual Sobolev spaces

Teresa Radice (2014)

Studia Mathematica

Similarity:

In this short note we present new integral formulas for the Hessian determinant. We use them for new definitions of Hessian under minimal regularity assumptions. The Hessian becomes a continuous linear functional on a Sobolev space.