Concept

Hilbert cube

Related publications (35)

A new spectral problem in fluid-structure interaction with transpiration

The aim of this Note is to provide a rigorous mathematical treatment of a new spectral problem, coming from a linear stability analysis in fluid-structure interaction. This eigenproblem involves the linearized incompressible Navier-Stokes equations coupled ...

2002

Invariant Manifolds for Weak Solutions to Stochastic Equations

Damir Filipovic

Viability and invariance problems related to a stochastic equation in a Hilbert space H are studied. Finite dimensional invariant C2 submanifolds of H are characterized. We derive Nagumo type conditions and prove a regularity result: Any weak solution, whi ...

2000

Quantum states of topologically massive electrodynamics and gravity

Claudio Scrucca

The free quantum states of topologically massive electrodynamics and gravity in 2+1 dimensions are found explicitly. It is shown that in both theories the states are described by infrared-regular polarization tensors containing a regularization phase which ...

1996

Geometrical and mathematical aspects of the adiabatic theorem of quantum mechanics

This work is devoted to rigorous results about the adiabatic theorem of quantum mechanics. This theorem deals with the time dependent Schrödinger equation when the hamiltonian is a slowly varying function of time, characterizing the so-called adiabatic reg ...

EPFL1992

Self-adjoint square roots of positive self-adjoint bounded linear operators

Charles Stuart

A corollary of the main theorem presented in this note is a generalisation of the well-known result that a self-adjoint square root of a positive self-adjoint compact linear map in a Hilbert space is itself a compact linear map. The method used here exploi ...

1972

Graph Chatbot

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.