Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems. (English. French summary) Zbl 1452.35120 J. Math. Pures Appl. (9) 143, 116-161 (2020). Reviewer: Khanlar R. Mamedov (Mersin) MSC: 35P05 35P25 35R30 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lampart, Jonas; Teufel, Stefan The adiabatic limit of Schrödinger operators on fibre bundles. (English) Zbl 1371.58010 Math. Ann. 367, No. 3-4, 1647-1683 (2017). Reviewer: Salah Mehdi (Metz) MSC: 58C40 58J37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lampart, Jonas Convergence of nodal sets in the adiabatic limit. (English) Zbl 1311.58017 Ann. Global Anal. Geom. 47, No. 2, 147-166 (2015). MSC: 58J50 58J32 35B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krejčiřík, David; Tušek, Matěj Nodal sets of thin curved layers. (English) Zbl 1323.35109 J. Differ. Equations 258, No. 2, 281-301 (2015). Reviewer: Peter B. Gilkey (Eugene) MSC: 35P05 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kennedy, J. B. The nodal line of the second eigenfunction of the Robin Laplacian in \(\mathbb R^2\) can be closed. (English) Zbl 1223.35242 J. Differ. Equations 251, No. 12, 3606-3624 (2011). MSC: 35P05 35B05 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aubry, Erwann; Bertrand, Jérôme; Colbois, Bruno Eigenvalue pinching on convex domains in space forms. (English) Zbl 1171.35088 Trans. Am. Math. Soc. 361, No. 1, 1-18 (2009). Reviewer: Chie-Ping Chu (Taipei) MSC: 35P15 35P05 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fournais, Søren The nodal surface of the second eigenfunction of the Laplacian in \(\mathbb{R}^D\) can be closed. (English) Zbl 1011.47033 J. Differ. Equations 173, No. 1, 145-159 (2001). Reviewer: J.Schmeelk (Richmond) MSC: 47F05 35P05 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Jerison, David Locating the first nodal line in the Neumann problem. (English) Zbl 0958.35028 Trans. Am. Math. Soc. 352, No. 5, 2301-2317 (2000). MSC: 35J25 35P15 35J05 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Brown, Russell M.; Hislop, P. D.; Martinez, A. Lower bounds on the interaction between cavities connected by a thin tube. (English) Zbl 0802.35109 Duke Math. J. 73, No. 1, 163-176 (1994). Reviewer: S.Jimbo (Sapporo) MSC: 35P15 35J05 × Cite Format Result Cite Review PDF Full Text: DOI