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On the semiboundedness ofδ-perturbations of the laplacian supported by curves with angle points

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Abstract

Elementary self-adjoint perturbations of the Laplacian supported by curves with singular angle points in ℝ3 and ℝ4 are studied. The perturbations are shown to be semibounded in ℝ3 and not semibounded in ℝ4. In the latter case semiboundedness may take place in subspaces with a given symmetry, as simple examples illustrate.

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Authors and Affiliations

  1. Nizhni Novgorod State Pedagogical University, USSR

    Yu. G. Shondin

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  1. Yu. G. Shondin
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 105, No. 1, pp. 3–17, October, 1995.

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Shondin, Y.G. On the semiboundedness ofδ-perturbations of the laplacian supported by curves with angle points. Theor Math Phys 105, 1189–1200 (1995). https://doi.org/10.1007/BF02067488

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  • DOI: https://doi.org/10.1007/BF02067488

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