Publications related to Sobolev space

Optimal polynomial blow up range for critical wave maps

We prove that the critical Wave Maps equation with target

S^2

and origin

\R^{2+1}

admits energy class blow up solutions of the form

u(t, r) = Q(\lambda(t)r) + \eps(t, r)

where

Q:\R^2\rightarrow S^2

is the ground state harmonic map and $\lambd ...

2015

Improving the efficiency of branch-and-bound complete-search NMR assignment using the symmetry of molecules and spectra

Luc Patiny, Julien Wist, Andrés Mauricio Castillo Robles

Nuclear magnetic resonance (NMR) assignment of small molecules is presented as a typical example of a combinatorial optimization problem in chemical physics. Three strategies that help improve the efficiency of solution search by the branch and bound metho ...

Amer Inst Physics2015

Approximation rates for the hierarchical tensor format in periodic Sobolev spaces

André Uschmajew

In this note we estimate the asymptotic rates for the L-2-error decay and the storage cost when approximating 2 pi-periodic, d-variate functions from isotropic and mixed Sobolev classes by the recent hierarchical tensor format as introduced by Hackbusch an ...

Academic Press Inc Elsevier Science2014

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

Martins Bruveris, Martin Bauer

In this article we study Sobolev metrics of order one on diffeomorphism groups on the real line. We prove that the space equipped with the homogeneous Sobolev metric of order one is a flat space in the sense of Riemannian geometry, as it is isometric to an ...

Springer Verlag2014

On the Continuity of Characteristic Functionals and Sparse Stochastic Modeling

Michaël Unser, Julien René Pierre Fageot, Arash Amini

The characteristic functional is the infinite-dimensional generalization of the Fourier transform for measures on function spaces. It characterizes the statistical law of the associated stochastic process in the same way as a characteristic function specif ...

Springer Birkhauser2014

Two-Level Discretization Techniques For Ground State Computations Of Bose-Einstein Condensates

Patrick Henning

This work presents a new methodology for computing ground states of Bose-Einstein condensates based on finite element discretizations on two different scales of numerical resolution. In a preprocessing step, a low-dimensional (coarse) generalized finite el ...

Society for Industrial and Applied Mathematics2014

Adaptive Image Resizing Based on Continuous-Domain Stochastic Modeling

Michaël Unser, John Paul Ward, Aurélien Bourquard, Hagay Kirshner

We introduce an adaptive continuous-domain modeling approach to texture and natural images. The continuous-domain image is assumed to be a smooth function, and we embed it in a parameterized Sobolev space. We point out a link between Sobolev spaces and sto ...

Ieee-Inst Electrical Electronics Engineers Inc2014

Three-dimensional solid texture analysis in biomedical imaging: Review and opportunities

Dimitri Nestor Alice Van De Ville, Adrien Raphaël Depeursinge

Three-dimensional computerized characterization of biomedical solid textures is key to large-scale and high-throughput screening of imaging data. Such data increasingly become available in the clinical and research environments with an ever increasing spat ...

Elsevier2014

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Optimal polynomial blow up range for critical wave maps

Joachim Krieger, Can Gao

We prove that the critical Wave Maps equation with target

S^2

and origin

\R^{2+1}

admits energy class blow up solutions of the form

u(t, r) = Q(\lambda(t)r) + \eps(t, r)

where

Q:\R^2\rightarrow S^2

is the ground state harmonic map and $\lambd ...

2015

Sobolev space

Optimal polynomial blow up range for critical wave maps

Improving the efficiency of branch-and-bound complete-search NMR assignment using the symmetry of molecules and spectra

Estimates for the topological degree and related topics

Approximation rates for the hierarchical tensor format in periodic Sobolev spaces

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

On the Continuity of Characteristic Functionals and Sparse Stochastic Modeling

The connectivity at infinity of a manifold and Sobolev inequalities

Two-Level Discretization Techniques For Ground State Computations Of Bose-Einstein Condensates

Adaptive Image Resizing Based on Continuous-Domain Stochastic Modeling

Three-dimensional solid texture analysis in biomedical imaging: Review and opportunities

Graph Chatbot

Chat with Graph Search

On the Continuity of Characteristic Functionals and Sparse Stochastic Modeling

Optimal polynomial blow up range for critical wave maps

Approximation rates for the hierarchical tensor format in periodic Sobolev spaces

Estimates for the topological degree and related topics

Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line

Three-dimensional solid texture analysis in biomedical imaging: Review and opportunities

The connectivity at infinity of a manifold and Sobolev inequalities

Improving the efficiency of branch-and-bound complete-search NMR assignment using the symmetry of molecules and spectra

Two-Level Discretization Techniques For Ground State Computations Of Bose-Einstein Condensates

Adaptive Image Resizing Based on Continuous-Domain Stochastic Modeling