Title

Soil Property Control Of Biogeochemical Processes Beneath Two Subtropical Stormwater Infiltration Basins

Abstract

The aim of this paper is two-fold: On one hand, we discuss an abstract approach to symmetrized Fredholm perturbation determinants and an associated trace formula for a pair of operators of positive type, extending a classical trace formula. On the other hand, we continue a recent systematic study of boundary data maps, that is, 2×2 matrix-valued Dirichlet-to-Neumann and more generally, Robin-to-Robin maps, associated with one-dimensional Schrödinger operators on a compact interval [0, R] with separated boundary conditions at 0 and R. One of the principal new results in this paper reduces an appropriately symmetrized (Fredholm) perturbation determinant to the 2×2 determinant of the underlying boundary data map. In addition, as a concrete application of the abstract approach in the first part of this paper, we establish the trace formula for resolvent differences of self-adjoint Schrödinger operators corresponding to different (separated) boundary conditions in terms of boundary data maps. 2011 London Mathematical Society2011 © 2011 London Mathematical Society.

Publication Date

3-1-2012

Publication Title

Journal of Environmental Quality

Volume

41

Issue

3

Number of Pages

564-581

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.2134/jeq2011.0204

Socpus ID

84858593263 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84858593263

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