Unbounded solutions of the nonlocal heat equation

Details Unbounded solutions of the nonlocal heat equation Unbounded solutions of the nonlocal heat equation

2010-01-14

arxiv.org/abs/1001.2541v2

Mathematics

Analysis of PDEs

Scientific paper

We consider the Cauchy problem posed in the whole space for the following nonlocal heat equation: u_t = J * u - u, where J is a symmetric continuous probability density. Depending on the tail of J, we give a rather complete picture of the problem in optimal classes of data by: (i) estimating the initial trace of (possibly unbounded) solutions; (ii) showing existence and uniqueness results in a suitable class; (iii) giving explicit unbounded polynomial solutions.

Affiliated with

Also associated with

No associations

Rating

Unbounded solutions of the nonlocal heat equation 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 Unbounded solutions of the nonlocal heat equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unbounded solutions of the nonlocal heat equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-568846