Sturm-Liouville operators with matrix distributional coefficients

2016/12/13 by Alexei Konstantinov, Konstantinov, Alexei, Oleksandr Konstantinov +1 · 1 citation
Mathematics · #34B08 #34L40 #47A10 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:34B08 #msc:34L40 #msc:47A10

paper · pdf · doi:10.48550/arxiv.1612.04106

9 pages. arXiv admin note: text overlap with arXiv:1002.4371 by other authors

arxiv created 2016/12/13 · arxiv updated 2016/12/14

Abstract

The paper deals with singular Sturm-Liouville expressions with matrix-valued distributional coefficients. Due to a suitable regularization, the corresponding operators are correctly defined as quasi-differentials. Their resolvent convergence is investigated and all self-adjoint, maximal dissipative, and maximal accumulative extensions are described in terms of homogeneous boundary conditions of the canonical form.

Citations

• Regularization of singular Sturm-Liouville equations

Cited by

• A generalized Birman-Schwinger principle and applications to one-dimensional Schrödinger operators with distributional potentials

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