Initial-boundary value problems for linear PDEs: the analyticity approach

Details Initial-boundary value problems for linear PDEs: the analyticity approach Initial-boundary value problems for linear PDEs: the analyticity approach

2002-10-24

arxiv.org/abs/nlin/0210058v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

22 pages, Latex, 4 figures, to be submitted to the proceedings of the NATO Advanced Research Workshop on "New Trends in Integr

Scientific paper

To study initial-boundary value problems for linear PDEs we have recently proposed two alternative approaches in Fourier space: the "analyticity appoach" and the "elimination by restriction approach". In this paper we present the analyticity appoach and we illustrate its power in studying the well-posedness of initial - boundary value problems for second and third order evolutionary PDEs, and in constructing their solution. We also show the connection between the analyticity approach and the elimination by restriction approach in the study of the Dirichelet and Neumann problems for the Schroedinger equation in the n-dimensional quadrant.

Affiliated with

Also associated with

No associations

Rating

Initial-boundary value problems for linear PDEs: the analyticity approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Initial-boundary value problems for linear PDEs: the analyticity approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Initial-boundary value problems for linear PDEs: the analyticity approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-163682