2
$\begingroup$

I want to learn the spectral theory of linear elliptic operators in bounded and unbounded domains in $R^n$, in particular for Laplacian and Schrodinger operators. Please suggest me some reference. I have studied second order Elliptic pde from Evans Chapter 6. There he discusses spectrum for case of bounded domain. I want to study how spectrum behaves in case of unbounded domain also. I want to explore functional analytic viewpoint of Elliptic Operators.

Improve this question
$\endgroup$
2
  • $\begingroup$ The question is to vast. You need to be more specific. $\endgroup$
    – Piotr Hajlasz
    Commented Jan 11, 2022 at 5:58
  • 2
    $\begingroup$ Hoermander's books are a good point to start. However, it depends very much on what you have in mind. From my perspective, I can say that the theory of heat kernels, as in Berline,Getzler,Vergne and Shubin's book were very helpful. $\endgroup$
    – user473423
    Commented Jan 11, 2022 at 8:32

1 Answer 1

Reset to default
0
$\begingroup$

Mathematical Methods in Quantum Mechanics With Applications to Schrödinger Operators Gerald Teschl

Improve this answer
$\endgroup$

Not the answer you're looking for? Browse other questions tagged .