Über die Länge der Knotenlinien schwingender Membranen. (On the length of the nodal lines of vibrating membranes.)

DOI10.1007/BF01142586zbMath0226.35078OpenAlexW2038024413MaRDI QIDQ2549109

Jochen Brüning, D. Gromes

Publication date: 1972

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/171659

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15)

Related Items

Topological properties of Neumann domains, Remarks on nodal volume statistics for regular and chaotic wave functions in various dimensions, Remarks on the boundary set of spectral equipartitions, Boundary effect on the nodal length for arithmetic random waves, and spectral semi-correlations, The expected nodal volume of non-Gaussian random band-limited functions, and their doubling index, Fluctuations of the nodal length of random spherical harmonics, Nodal length fluctuations for arithmetic random waves, Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in ℝ², Direction distribution for nodal components of random band-limited functions on surfaces, Nodal lengths of eigenfunctions in the disc, Über Knoten von Eigenfunktionen des Laplace-Beltrami-Operators, On the distribution of the nodal sets of random spherical harmonics, The defect of random hyperspherical harmonics, Nodal deficiency of random spherical harmonics in presence of boundary

Cites Work

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• Remarks on courant's nodal line theorem
• Elementarer Beweis einer isoperimetrischen Ungleichung