Toth, John A.; Zelditch, Steve Nodal intersections and geometric control. (English) Zbl 07311280 J. Differ. Geom. 117, No. 2, 345-393 (2021). MSC: 35P15 35P05 35B38 53C21 58J50 PDF BibTeX XML Cite \textit{J. A. Toth} and \textit{S. Zelditch}, J. Differ. Geom. 117, No. 2, 345--393 (2021; Zbl 07311280) Full Text: DOI Euclid
Marinucci, Domenico; Rossi, Maurizia On the correlation between nodal and nonzero level sets for random spherical harmonics. (English) Zbl 07303655 Ann. Henri Poincaré 22, No. 1, 275-307 (2021). MSC: 60G60 62M15 53C65 42C10 33C55 60F05 60G60 60G70 60D05 60B10 PDF BibTeX XML Cite \textit{D. Marinucci} and \textit{M. Rossi}, Ann. Henri Poincaré 22, No. 1, 275--307 (2021; Zbl 07303655) Full Text: DOI
Kenig, Carlos; Zhu, Jiuyi Propagation of smallness in elliptic periodic homogenization. (English) Zbl 07293728 SIAM J. Math. Anal. 53, No. 1, 111-132 (2021). Reviewer: Paolo Musolino (Padova) MSC: 35B27 35J61 35C15 PDF BibTeX XML Cite \textit{C. Kenig} and \textit{J. Zhu}, SIAM J. Math. Anal. 53, No. 1, 111--132 (2021; Zbl 07293728) Full Text: DOI
Egidi, Michela; Veselić, Ivan Scale-free unique continuation estimates and Logvinenko-Sereda theorems on the torus. (English) Zbl 07285800 Ann. Henri Poincaré 21, No. 12, 3757-3790 (2020). MSC: 35B60 35P15 35A23 PDF BibTeX XML Cite \textit{M. Egidi} and \textit{I. Veselić}, Ann. Henri Poincaré 21, No. 12, 3757--3790 (2020; Zbl 07285800) Full Text: DOI
Sire, Yannick; Terracini, Susanna; Tortone, Giorgio On the nodal set of solutions to degenerate or singular elliptic equations with an application to \(s\)-harmonic functions. (English. French summary) Zbl 07262161 J. Math. Pures Appl. (9) 143, 376-441 (2020). MSC: 35J70 35J75 35R11 35B40 35B44 35B53 PDF BibTeX XML Cite \textit{Y. Sire} et al., J. Math. Pures Appl. (9) 143, 376--441 (2020; Zbl 07262161) Full Text: DOI
Todino, Anna Paola Nodal lengths in shrinking domains for random eigenfunctions on \(S^2\). (English) Zbl 07256169 Bernoulli 26, No. 4, 3081-3110 (2020). MSC: 60 62 PDF BibTeX XML Cite \textit{A. P. Todino}, Bernoulli 26, No. 4, 3081--3110 (2020; Zbl 07256169) Full Text: DOI Euclid
Zhu, Jiuyi Geometry and interior nodal sets of Steklov eigenfunctions. (English) Zbl 1448.35351 Calc. Var. Partial Differ. Equ. 59, No. 5, Paper No. 150, 23 p. (2020). MSC: 35P20 35P15 35B05 35R01 58C40 28A78 PDF BibTeX XML Cite \textit{J. Zhu}, Calc. Var. Partial Differ. Equ. 59, No. 5, Paper No. 150, 23 p. (2020; Zbl 1448.35351) Full Text: DOI
Eswarathasan, Suresh; Wigman, Igor Direction distribution for nodal components of random band-limited functions on surfaces. (English) Zbl 07254284 Trans. Am. Math. Soc. 373, No. 10, 7383-7428 (2020). MSC: 60G60 53B20 PDF BibTeX XML Cite \textit{S. Eswarathasan} and \textit{I. Wigman}, Trans. Am. Math. Soc. 373, No. 10, 7383--7428 (2020; Zbl 07254284) Full Text: DOI
Canzani, Yaiza; Hanin, Boris Local universality for zeros and critical points of monochromatic random waves. (English) Zbl 07250102 Commun. Math. Phys. 378, No. 3, 1677-1712 (2020). MSC: 58J65 35P20 PDF BibTeX XML Cite \textit{Y. Canzani} and \textit{B. Hanin}, Commun. Math. Phys. 378, No. 3, 1677--1712 (2020; Zbl 07250102) Full Text: DOI
Klartag, Bo’az Unimodal value distribution of Laplace eigenfunctions and a monotonicity formula. (English) Zbl 07243368 Geom. Dedicata 208, 13-29 (2020). Reviewer: Corina Mohorianu (Iaşi) MSC: 53C21 58J50 53C42 PDF BibTeX XML Cite \textit{B. Klartag}, Geom. Dedicata 208, 13--29 (2020; Zbl 07243368) Full Text: DOI
Sartori, Andrea Planck-scale number of nodal domains for toral eigenfunctions. (English) Zbl 07235738 J. Funct. Anal. 279, No. 8, Article ID 108663, 21 p. (2020). MSC: 58J50 35P20 35R01 60G15 60G60 PDF BibTeX XML Cite \textit{A. Sartori}, J. Funct. Anal. 279, No. 8, Article ID 108663, 21 p. (2020; Zbl 07235738) Full Text: DOI
Cammarota, Valentina; Klurman, Oleksiy; Wigman, Igor Boundary effect on the nodal length for arithmetic random waves, and spectral semi-correlations. (English) Zbl 1441.60026 Commun. Math. Phys. 376, No. 2, 1261-1310 (2020). MSC: 60G15 58J50 60F05 60G60 11E25 PDF BibTeX XML Cite \textit{V. Cammarota} et al., Commun. Math. Phys. 376, No. 2, 1261--1310 (2020; Zbl 1441.60026) Full Text: DOI
Marinucci, Domenico; Rossi, Maurizia; Wigman, Igor The asymptotic equivalence of the sample trispectrum and the nodal length for random spherical harmonics. (English. French summary) Zbl 07199308 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 1, 374-390 (2020). MSC: 60G60 62M15 53C65 42C10 33C55 PDF BibTeX XML Cite \textit{D. Marinucci} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 1, 374--390 (2020; Zbl 07199308) Full Text: DOI Euclid
Le Rousseau, Jérôme; Robbiano, Luc Spectral inequality and resolvent estimate for the bi-Laplace operator. (English) Zbl 1439.35351 J. Eur. Math. Soc. (JEMS) 22, No. 4, 1003-1094 (2020). Reviewer: Kaïs Ammari (Monastir) MSC: 35P15 58J50 35B45 35J30 35L35 35S15 93B05 93D15 PDF BibTeX XML Cite \textit{J. Le Rousseau} and \textit{L. Robbiano}, J. Eur. Math. Soc. (JEMS) 22, No. 4, 1003--1094 (2020; Zbl 1439.35351) Full Text: DOI
Deng, Haiyun; Liu, Hairong; Tian, Long Classification of singular sets of solutions to elliptic equations. (English) Zbl 1437.35203 Commun. Pure Appl. Anal. 19, No. 6, 2949-2964 (2020). MSC: 35J15 PDF BibTeX XML Cite \textit{H. Deng} et al., Commun. Pure Appl. Anal. 19, No. 6, 2949--2964 (2020; Zbl 1437.35203) Full Text: DOI
Tautenhahn, Martin; Veselić, Ivan Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications. (English) Zbl 1436.35110 J. Differ. Equations 268, No. 12, 7669-7714 (2020). Reviewer: Michael Perelmuter (Kyïv) MSC: 35J15 35J10 47B80 47N70 PDF BibTeX XML Cite \textit{M. Tautenhahn} and \textit{I. Veselić}, J. Differ. Equations 268, No. 12, 7669--7714 (2020; Zbl 1436.35110) Full Text: DOI
Steinerberger, Stefan A metric Sturm-Liouville theory in two dimensions. (English) Zbl 1431.28004 Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 12, 14 p. (2020). Reviewer: Guy Katriel (Haifa) MSC: 28A75 34B24 35B05 35P20 49Q20 35J15 34C10 PDF BibTeX XML Cite \textit{S. Steinerberger}, Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 12, 14 p. (2020; Zbl 1431.28004) Full Text: DOI arXiv
Rossi, Maurizia Random nodal lengths and Wiener chaos. (English) Zbl 07217725 Canzani, Yaiza (ed.) et al., Probabilistic methods in geometry, topology and spectral theory. CRM workshops on probabilistic methods in spectral geometry and PDE, August 22–26, 2016, and on probabilistic methods in topology, November 14–18, 2016, Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (ISBN 978-1-4704-4145-6/pbk; 978-1-4704-5599-6/ebook). Contemporary Mathematics 739. Centre de Recherches Mathématiques Proceedings, 155-169 (2019). MSC: 60G60 60B10 60D05 35P20 58J50 PDF BibTeX XML Cite \textit{M. Rossi}, Contemp. Math. 739, 155--169 (2019; Zbl 07217725) Full Text: DOI
Nakić, Ivica; Rose, Christian; Tautenhahn, Martin A quantitative Carleman estimate for second-order elliptic operators. (English) Zbl 07197544 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 4, 915-938 (2019). MSC: 35J15 35B45 PDF BibTeX XML Cite \textit{I. Nakić} et al., Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 4, 915--938 (2019; Zbl 07197544) Full Text: DOI
Tortone, Giorgio The nodal set of solutions to anomalous equations. (English) Zbl 1436.35187 “Bruno Pini” Mathematical Analysis Seminar 2019. Papers from the seminar, University of Bologna, Bologna, Italy, 2019. Bologna: Università di Bologna, Alma Mater Studiorum. 98-109 (2019). MSC: 35J70 35J75 35R11 PDF BibTeX XML Cite \textit{G. Tortone}, in: ``Bruno Pini'' Mathematical Analysis Seminar 2019. Papers from the seminar, University of Bologna, Bologna, Italy, 2019. Bologna: Università di Bologna, Alma Mater Studiorum. 98--109 (2019; Zbl 1436.35187) Full Text: DOI
Gittins, Katie; Helffer, Bernard Courant-sharp Robin eigenvalues for the square and other planar domains. (English) Zbl 1444.35118 Port. Math. (N.S.) 76, No. 1, 57-100 (2019). Reviewer: James Bernard Kennedy (Lisboa) MSC: 35P05 35J05 35J25 58J50 PDF BibTeX XML Cite \textit{K. Gittins} and \textit{B. Helffer}, Port. Math. (N.S.) 76, No. 1, 57--100 (2019; Zbl 1444.35118) Full Text: DOI arXiv
Rossi, Maurizia The defect of random hyperspherical harmonics. (English) Zbl 07120214 J. Theor. Probab. 32, No. 4, 2135-2165 (2019). MSC: 60G60 42C10 60D05 60B10 43A75 PDF BibTeX XML Cite \textit{M. Rossi}, J. Theor. Probab. 32, No. 4, 2135--2165 (2019; Zbl 07120214) Full Text: DOI
Davey, Blair; Zhu, Jiuyi Quantitative uniqueness of solutions to second-order elliptic equations with singular lower order terms. (English) Zbl 1427.35026 Commun. Partial Differ. Equations 44, No. 11, 1217-1251 (2019). MSC: 35J15 35J10 35A02 PDF BibTeX XML Cite \textit{B. Davey} and \textit{J. Zhu}, Commun. Partial Differ. Equations 44, No. 11, 1217--1251 (2019; Zbl 1427.35026) Full Text: DOI arXiv
Polterovich, Iosif; Sher, David A.; Toth, John A. Nodal length of Steklov eigenfunctions on real-analytic Riemannian surfaces. (English) Zbl 1437.35182 J. Reine Angew. Math. 754, 17-47 (2019). Reviewer: Andreas Kleefeld (Jülich) MSC: 35J05 35P15 58C40 PDF BibTeX XML Cite \textit{I. Polterovich} et al., J. Reine Angew. Math. 754, 17--47 (2019; Zbl 1437.35182) Full Text: DOI arXiv
Lin, Fanghua; Shen, Zhongwei Nodal sets and doubling conditions in elliptic homogenization. (English) Zbl 1421.35074 Acta Math. Sin., Engl. Ser. 35, No. 6, 815-831 (2019). MSC: 35J15 35B27 PDF BibTeX XML Cite \textit{F. Lin} and \textit{Z. Shen}, Acta Math. Sin., Engl. Ser. 35, No. 6, 815--831 (2019; Zbl 1421.35074) Full Text: DOI arXiv
Funano, Kei; Sakurai, Yohei Concentration of eigenfunctions of the Laplacian on a closed Riemannian manifold. (English) Zbl 1423.53047 Proc. Am. Math. Soc. 147, No. 7, 3155-3164 (2019). Reviewer: Peter B. Gilkey (Eugene) MSC: 53C21 53C23 58J50 PDF BibTeX XML Cite \textit{K. Funano} and \textit{Y. Sakurai}, Proc. Am. Math. Soc. 147, No. 7, 3155--3164 (2019; Zbl 1423.53047) Full Text: DOI arXiv
Nourdin, Ivan; Peccati, Giovanni; Rossi, Maurizia Nodal statistics of planar random waves. (English) Zbl 1431.60025 Commun. Math. Phys. 369, No. 1, 99-151 (2019). MSC: 60F05 58J50 60G60 PDF BibTeX XML Cite \textit{I. Nourdin} et al., Commun. Math. Phys. 369, No. 1, 99--151 (2019; Zbl 1431.60025) Full Text: DOI arXiv
Georgiev, Bogdan On the lower bound of the inner radius of nodal domains. (English) Zbl 1428.35253 J. Geom. Anal. 29, No. 2, 1546-1554 (2019). Reviewer: Nikhil Savale (Köln) MSC: 35P20 58J50 58J05 PDF BibTeX XML Cite \textit{B. Georgiev}, J. Geom. Anal. 29, No. 2, 1546--1554 (2019; Zbl 1428.35253) Full Text: DOI arXiv
Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel Observability properties of the homogeneous wave equation on a closed manifold. (English) Zbl 1429.35144 Commun. Partial Differ. Equations 44, No. 9, 749-772 (2019). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L15 35L05 93C20 93B07 93B27 35R01 PDF BibTeX XML Cite \textit{E. Humbert} et al., Commun. Partial Differ. Equations 44, No. 9, 749--772 (2019; Zbl 1429.35144) Full Text: DOI
Georgiev, Bogdan; Mukherjee, Mayukh Some remarks on nodal geometry in the smooth setting. (English) Zbl 1415.58019 Calc. Var. Partial Differ. Equ. 58, No. 3, Paper No. 93, 25 p. (2019). MSC: 58J50 35P15 35P20 53B20 PDF BibTeX XML Cite \textit{B. Georgiev} and \textit{M. Mukherjee}, Calc. Var. Partial Differ. Equ. 58, No. 3, Paper No. 93, 25 p. (2019; Zbl 1415.58019) Full Text: DOI arXiv
Camliyurt, Guher; Kukavica, Igor; Wang, Fei On quantitative uniqueness for elliptic equations. (English) Zbl 1445.35055 Math. Z. 291, No. 1-2, 227-244 (2019). Reviewer: Jenn-Nan Wang (Taipei) MSC: 35B40 35B60 35A02 35J25 35K20 PDF BibTeX XML Cite \textit{G. Camliyurt} et al., Math. Z. 291, No. 1--2, 227--244 (2019; Zbl 1445.35055) Full Text: DOI
Zhu, Jiuyi Doubling inequality and nodal sets for solutions of bi-Laplace equations. (English) Zbl 1417.35047 Arch. Ration. Mech. Anal. 232, No. 3, 1543-1595 (2019). Reviewer: Igor Bock (Bratislava) MSC: 35J91 58J05 PDF BibTeX XML Cite \textit{J. Zhu}, Arch. Ration. Mech. Anal. 232, No. 3, 1543--1595 (2019; Zbl 1417.35047) Full Text: DOI
Han, Xiaolong; Murray, Michael; Tran, Chuong Nodal lengths of eigenfunctions in the disc. (English) Zbl 1409.58022 Proc. Am. Math. Soc. 147, No. 4, 1817-1824 (2019). Reviewer: Emilio A. Lauret (Córdoba) MSC: 58J50 33C10 35J05 PDF BibTeX XML Cite \textit{X. Han} et al., Proc. Am. Math. Soc. 147, No. 4, 1817--1824 (2019; Zbl 1409.58022) Full Text: DOI arXiv
Logunov, Alexander; Malinnikova, Eugenia Nodal sets of Laplace eigenfunctions: estimates of the Hausdorff measure in dimensions two and three. (English) Zbl 1414.31004 Baranov, Anton (ed.) et al., 50 years with Hardy spaces. A tribute to Victor Havin. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 261, 333-344 (2018). Reviewer: Peter B. Gilkey (Eugene) MSC: 31B05 35R01 PDF BibTeX XML Cite \textit{A. Logunov} and \textit{E. Malinnikova}, Oper. Theory: Adv. Appl. 261, 333--344 (2018; Zbl 1414.31004) Full Text: DOI
Dang, Nguyen Viet; Rivière, Gabriel Equidistribution of the conormal cycle of random nodal sets. (English) Zbl 1407.58010 J. Eur. Math. Soc. (JEMS) 20, No. 12, 3017-3071 (2018). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J50 58J65 35P20 60D05 58A25 PDF BibTeX XML Cite \textit{N. V. Dang} and \textit{G. Rivière}, J. Eur. Math. Soc. (JEMS) 20, No. 12, 3017--3071 (2018; Zbl 1407.58010) Full Text: DOI arXiv
Tian, Long Measure estimates of nodal sets of polyharmonic functions. (English) Zbl 1402.58010 Chin. Ann. Math., Ser. B 39, No. 5, 917-932 (2018). MSC: 58E10 53C50 PDF BibTeX XML Cite \textit{L. Tian}, Chin. Ann. Math., Ser. B 39, No. 5, 917--932 (2018; Zbl 1402.58010) Full Text: DOI
Han, Xiaolong Distribution of the nodal sets of eigenfunctions on analytic manifolds. (English) Zbl 1402.58019 J. Spectr. Theory 8, No. 4, 1281-1293 (2018). MSC: 58J50 35J05 35P15 PDF BibTeX XML Cite \textit{X. Han}, J. Spectr. Theory 8, No. 4, 1281--1293 (2018; Zbl 1402.58019) Full Text: DOI arXiv
Camliyurt, Guher; Kukavica, Igor Quantitative unique continuation for a parabolic equation. (English) Zbl 1402.35134 Indiana Univ. Math. J. 67, No. 2, 657-678 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 35K10 35B40 35B10 35B60 PDF BibTeX XML Cite \textit{G. Camliyurt} and \textit{I. Kukavica}, Indiana Univ. Math. J. 67, No. 2, 657--678 (2018; Zbl 1402.35134) Full Text: DOI arXiv
Beck, Thomas; Becker-Kahn, Spencer; Hanin, Boris Nodal sets of smooth functions with finite vanishing order and \(p\)-sweepouts. (English) Zbl 1401.35228 Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 140, 13 p. (2018). Reviewer: Dumitru Motreanu (Juiz de Fora) MSC: 35P20 PDF BibTeX XML Cite \textit{T. Beck} et al., Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 140, 13 p. (2018; Zbl 1401.35228) Full Text: DOI
Hezari, Hamid Inner radius of nodal domains of quantum ergodic eigenfunctions. (English) Zbl 1400.35193 Proc. Am. Math. Soc. 146, No. 11, 4661-4666 (2018). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P15 58J50 35P20 35R01 PDF BibTeX XML Cite \textit{H. Hezari}, Proc. Am. Math. Soc. 146, No. 11, 4661--4666 (2018; Zbl 1400.35193) Full Text: DOI arXiv
Zhu, Jiuyi Quantitative uniqueness of solutions to parabolic equations. (English) Zbl 1401.35148 J. Funct. Anal. 275, No. 9, 2373-2403 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35K10 58J35 35A02 PDF BibTeX XML Cite \textit{J. Zhu}, J. Funct. Anal. 275, No. 9, 2373--2403 (2018; Zbl 1401.35148) Full Text: DOI arXiv
Soave, Nicola; Terracini, Susanna The nodal set of solutions to some elliptic problems: sublinear equations, and unstable two-phase membrane problem. (English) Zbl 1395.35009 Adv. Math. 334, 243-299 (2018). MSC: 35B05 35R35 35J60 35B60 28A78 74K15 PDF BibTeX XML Cite \textit{N. Soave} and \textit{S. Terracini}, Adv. Math. 334, 243--299 (2018; Zbl 1395.35009) Full Text: DOI arXiv
Davey, Blair; Zhu, Jiuyi Quantitative uniqueness of solutions to second order elliptic equations with singular potentials in two dimensions. (English) Zbl 1395.35081 Calc. Var. Partial Differ. Equ. 57, No. 3, Paper No. 92, 1-27 (2018). MSC: 35J15 35J10 PDF BibTeX XML Cite \textit{B. Davey} and \textit{J. Zhu}, Calc. Var. Partial Differ. Equ. 57, No. 3, Paper No. 92, 1--27 (2018; Zbl 1395.35081) Full Text: DOI arXiv
Banerjee, Agnid Sharp vanishing order of solutions to stationary Schrödinger equations on Carnot groups of arbitrary step. (English) Zbl 1398.35025 J. Math. Anal. Appl. 465, No. 1, 571-587 (2018). MSC: 35J10 35R03 58J05 PDF BibTeX XML Cite \textit{A. Banerjee}, J. Math. Anal. Appl. 465, No. 1, 571--587 (2018; Zbl 1398.35025) Full Text: DOI arXiv
Zhu, Jiuyi Quantitative unique continuation of solutions to higher order elliptic equations with singular coefficients. (English) Zbl 1392.35118 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 58, 35 p. (2018). MSC: 35J30 35A02 PDF BibTeX XML Cite \textit{J. Zhu}, Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 58, 35 p. (2018; Zbl 1392.35118) Full Text: DOI arXiv
Logunov, Alexander Nodal sets of Laplace eigenfunctions: proof of Nadirashvili’s conjecture and of the lower bound in Yau’s conjecture. (English) Zbl 1384.58021 Ann. Math. (2) 187, No. 1, 241-262 (2018). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 35P05 31B05 PDF BibTeX XML Cite \textit{A. Logunov}, Ann. Math. (2) 187, No. 1, 241--262 (2018; Zbl 1384.58021) Full Text: DOI arXiv
Logunov, Alexander Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure. (English) Zbl 1384.58020 Ann. Math. (2) 187, No. 1, 221-239 (2018). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 35P05 PDF BibTeX XML Cite \textit{A. Logunov}, Ann. Math. (2) 187, No. 1, 221--239 (2018; Zbl 1384.58020) Full Text: DOI arXiv
Hezari, Hamid Applications of small-scale quantum ergodicity in nodal sets. (English) Zbl 06829999 Anal. PDE 11, No. 4, 855-871 (2018). MSC: 35P20 PDF BibTeX XML Cite \textit{H. Hezari}, Anal. PDE 11, No. 4, 855--871 (2018; Zbl 06829999) Full Text: DOI
Barthelmé, Thomas On deformations of the spectrum of a Finsler-Laplacian that preserve the length spectrum. (English. French summary) Zbl 1411.53058 Bull. Soc. Math. Fr. 145, No. 3, 421-448 (2017). Reviewer: Igor G. Nikolaev (Urbana) MSC: 53C60 58J60 58J50 53C22 PDF BibTeX XML Cite \textit{T. Barthelmé}, Bull. Soc. Math. Fr. 145, No. 3, 421--448 (2017; Zbl 1411.53058) Full Text: DOI arXiv
Bérard, Pierre; Helffer, Bernard Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in \(\mathbb{R}^2\). (English) Zbl 1391.35020 Girouard, Alexandre (ed.) et al., Geometric and computational spectral theory. Lectures from the Séminaire de Mathématiques Supérieures, Centre de Recherches Mathématiques, Université de Montréal, Montréal, QC, Canada, June 15–26, 2015. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (ISBN 978-1-4704-2665-1/pbk; 978-1-4704-4258-3/ebook). Contemporary Mathematics 700. Centre de Recherches Mathématiques Proceedings, 87-116 (2017). MSC: 35B05 35Q40 58J50 81Q05 35P05 PDF BibTeX XML Cite \textit{P. Bérard} and \textit{B. Helffer}, Contemp. Math. 700, 87--116 (2017; Zbl 1391.35020) Full Text: DOI
Borisov, Denis; Tautenhahn, Martin; Veselić, Ivan Scale-free quantitative unique continuation and equidistribution estimates for solutions of elliptic differential equations. (English) Zbl 1381.35027 J. Math. Phys. 58, No. 12, 121502, 19 p. (2017). MSC: 35J15 35J10 35B60 35B45 PDF BibTeX XML Cite \textit{D. Borisov} et al., J. Math. Phys. 58, No. 12, 121502, 19 p. (2017; Zbl 1381.35027) Full Text: DOI
Davey, Blair; Kenig, Carlos; Wang, Jenn-Nan The Landis conjecture for variable coefficient second-order elliptic PDEs. (English) Zbl 1375.35061 Trans. Am. Math. Soc. 369, No. 11, 8209-8237 (2017). MSC: 35B60 35J10 PDF BibTeX XML Cite \textit{B. Davey} et al., Trans. Am. Math. Soc. 369, No. 11, 8209--8237 (2017; Zbl 1375.35061) Full Text: DOI arXiv
Miyanishi, Yoshihisa; Suzuki, Takashi Eigenvalues and eigenfunctions of double layer potentials. (English) Zbl 06789874 Trans. Am. Math. Soc. 369, No. 11, 8037-8059 (2017). MSC: 47G40 34L20 PDF BibTeX XML Cite \textit{Y. Miyanishi} and \textit{T. Suzuki}, Trans. Am. Math. Soc. 369, No. 11, 8037--8059 (2017; Zbl 06789874) Full Text: DOI arXiv
Marques, Fernando C.; Neves, André Existence of infinitely many minimal hypersurfaces in positive Ricci curvature. (English) Zbl 1390.53064 Invent. Math. 209, No. 2, 577-616 (2017). Reviewer: Ion Mihai (Bucureşti) MSC: 53C42 PDF BibTeX XML Cite \textit{F. C. Marques} and \textit{A. Neves}, Invent. Math. 209, No. 2, 577--616 (2017; Zbl 1390.53064) Full Text: DOI
Tautenhahn, Martin; Täufer, Matthias Scale-free and quantitative unique continuation for infinite dimensional spectral subspaces of Schrödinger operators. (English) Zbl 1419.34234 Commun. Pure Appl. Anal. 16, No. 5, 1719-1730 (2017). MSC: 34L40 34L05 35J10 35J15 PDF BibTeX XML Cite \textit{M. Tautenhahn} and \textit{M. Täufer}, Commun. Pure Appl. Anal. 16, No. 5, 1719--1730 (2017; Zbl 1419.34234) Full Text: DOI arXiv
Jakobson, Dmitry; Naud, Frédéric On the nodal lines of Eisenstein series on Schottky surfaces. (English) Zbl 1382.58024 Commun. Math. Phys. 351, No. 2, 493-523 (2017). Reviewer: Emilio A. Lauret (Córdoba) MSC: 58J50 35P15 PDF BibTeX XML Cite \textit{D. Jakobson} and \textit{F. Naud}, Commun. Math. Phys. 351, No. 2, 493--523 (2017; Zbl 1382.58024) Full Text: DOI
Ingremeau, Maxime Distorted plane waves on manifolds of nonpositive curvature. (English) Zbl 1431.58011 Commun. Math. Phys. 350, No. 2, 845-891 (2017). MSC: 58J45 PDF BibTeX XML Cite \textit{M. Ingremeau}, Commun. Math. Phys. 350, No. 2, 845--891 (2017; Zbl 1431.58011) Full Text: DOI arXiv
Rüland, Angkana On quantitative unique continuation properties of fractional Schrödinger equations: doubling, vanishing order and nodal domain estimates. (English) Zbl 1377.35276 Trans. Am. Math. Soc. 369, No. 4, 2311-2362 (2017). Reviewer: Alain Brillard (Riedisheim) MSC: 35R11 35A02 PDF BibTeX XML Cite \textit{A. Rüland}, Trans. Am. Math. Soc. 369, No. 4, 2311--2362 (2017; Zbl 1377.35276) Full Text: DOI arXiv
Jin, Long Semiclassical Cauchy estimates and applications. (English) Zbl 1354.32005 Trans. Am. Math. Soc. 369, No. 2, 975-995 (2017). MSC: 32C05 35J10 PDF BibTeX XML Cite \textit{L. Jin}, Trans. Am. Math. Soc. 369, No. 2, 975--995 (2017; Zbl 1354.32005) Full Text: DOI arXiv
Täufer, Matthias; Tautenhahn, Martin; Veselić, Ivan Harmonic analysis and random Schrödinger operators. (English) Zbl 1403.35092 Mantoiu, Marius (ed.) et al., Spectral theory and mathematical physics. Proceedings of the conference, Santiago, Chile, November 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-29990-7/hbk; 978-3-319-29992-1/ebook). Operator Theory: Advances and Applications 254, 223-255 (2016). MSC: 35J10 35R60 35-02 PDF BibTeX XML Cite \textit{M. Täufer} et al., Oper. Theory: Adv. Appl. 254, 223--255 (2016; Zbl 1403.35092) Full Text: DOI
Buckley, Jeremiah; Wigman, Igor On the number of nodal domains of toral eigenfunctions. (English) Zbl 1361.35051 Ann. Henri Poincaré 17, No. 11, 3027-3062 (2016). Reviewer: Mihai Pascu (Bucureşti) MSC: 35J10 35P05 PDF BibTeX XML Cite \textit{J. Buckley} and \textit{I. Wigman}, Ann. Henri Poincaré 17, No. 11, 3027--3062 (2016; Zbl 1361.35051) Full Text: DOI arXiv
Nicolaescu, Liviu I. The blowup along the diagonal of the spectral function of the Laplacian. (English) Zbl 1354.58028 Boll. Unione Mat. Ital. 9, No. 3, 411-420 (2016). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 PDF BibTeX XML Cite \textit{L. I. Nicolaescu}, Boll. Unione Mat. Ital. 9, No. 3, 411--420 (2016; Zbl 1354.58028) Full Text: DOI arXiv
Banerjee, Agnid; Garofalo, Nicola Quantitative uniqueness for elliptic equations at the boundary of \(C^{1,\operatorname{Dini}}\) domains. (English) Zbl 1359.35039 J. Differ. Equations 261, No. 12, 6718-6757 (2016). Reviewer: Lubomira Softova (Aversa) MSC: 35J25 35J10 PDF BibTeX XML Cite \textit{A. Banerjee} and \textit{N. Garofalo}, J. Differ. Equations 261, No. 12, 6718--6757 (2016; Zbl 1359.35039) Full Text: DOI
Marinucci, Domenico; Peccati, Giovanni; Rossi, Maurizia; Wigman, Igor Non-universality of nodal length distribution for arithmetic random waves. (English) Zbl 1347.60013 Geom. Funct. Anal. 26, No. 3, 926-960 (2016). MSC: 60F05 60G60 60D05 60B10 58J50 35P20 PDF BibTeX XML Cite \textit{D. Marinucci} et al., Geom. Funct. Anal. 26, No. 3, 926--960 (2016; Zbl 1347.60013) Full Text: DOI arXiv
Sogge, Christopher D.; Wang, Xing; Zhu, Jiuyi Lower bounds for interior nodal sets of Steklov eigenfunctions. (English) Zbl 1359.35116 Proc. Am. Math. Soc. 144, No. 11, 4715-4722 (2016). Reviewer: Feng-Yu Wang (Swansea) MSC: 35P05 58J50 PDF BibTeX XML Cite \textit{C. D. Sogge} et al., Proc. Am. Math. Soc. 144, No. 11, 4715--4722 (2016; Zbl 1359.35116) Full Text: DOI arXiv
Band, Ram; Fajman, David Topological properties of Neumann domains. (English) Zbl 1350.53050 Ann. Henri Poincaré 17, No. 9, 2379-2407 (2016). MSC: 53C21 58J50 31B05 37B35 PDF BibTeX XML Cite \textit{R. Band} and \textit{D. Fajman}, Ann. Henri Poincaré 17, No. 9, 2379--2407 (2016; Zbl 1350.53050) Full Text: DOI arXiv
Enciso, Alberto; Peralta-Salas, Daniel Topological monsters in elliptic equations and spectral theory. (English) Zbl 1350.35009 EMS Surv. Math. Sci. 3, No. 1, 107-130 (2016). MSC: 35B05 35J15 58J50 35P05 PDF BibTeX XML Cite \textit{A. Enciso} and \textit{D. Peralta-Salas}, EMS Surv. Math. Sci. 3, No. 1, 107--130 (2016; Zbl 1350.35009) Full Text: DOI
Enciso, Alberto; Hartley, David; Peralta-Salas, Daniel Laplace operators with eigenfunctions whose nodal set is a knot. (English) Zbl 1357.58030 J. Funct. Anal. 271, No. 1, 182-200 (2016). Reviewer: Lizhen Ji (Ann Arbor) MSC: 58J50 57M25 PDF BibTeX XML Cite \textit{A. Enciso} et al., J. Funct. Anal. 271, No. 1, 182--200 (2016; Zbl 1357.58030) Full Text: DOI arXiv
Lin, Fanghua; Liu, Dan On the Betti numbers of level sets of solutions to elliptic equations. (English) Zbl 1336.35130 Discrete Contin. Dyn. Syst. 36, No. 8, 4517-4529 (2016). MSC: 35J15 82D55 35B25 35B40 35Q55 PDF BibTeX XML Cite \textit{F. Lin} and \textit{D. Liu}, Discrete Contin. Dyn. Syst. 36, No. 8, 4517--4529 (2016; Zbl 1336.35130) Full Text: DOI
Hezari, Hamid; Rivière, Gabriel \(L^{p}\) norms, nodal sets, and quantum ergodicity. (English) Zbl 1332.81067 Adv. Math. 290, 938-966 (2016). MSC: 81Q35 81Q05 58J05 35P20 53C17 PDF BibTeX XML Cite \textit{H. Hezari} and \textit{G. Rivière}, Adv. Math. 290, 938--966 (2016; Zbl 1332.81067) Full Text: DOI arXiv
Hu, Jingchen; Shi, Yiqian; Xu, Bin The gradient estimate of a Neumann eigenfunction on a compact manifold with boundary. (English) Zbl 1329.35226 Chin. Ann. Math., Ser. B 36, No. 6, 991-1000 (2015). MSC: 35P20 35J05 35B45 PDF BibTeX XML Cite \textit{J. Hu} et al., Chin. Ann. Math., Ser. B 36, No. 6, 991--1000 (2015; Zbl 1329.35226) Full Text: DOI
Blair, Matthew D.; Sogge, Christopher D. On Kakeya-Nikodym averages, \(L^p\)-norms and lower bounds for nodal sets of eigenfunctions in higher dimensions. (English) Zbl 1330.58023 J. Eur. Math. Soc. (JEMS) 17, No. 10, 2513-2543 (2015). Reviewer: Claude Zuily (Orsay) MSC: 58J51 58J05 42B37 35L15 PDF BibTeX XML Cite \textit{M. D. Blair} and \textit{C. D. Sogge}, J. Eur. Math. Soc. (JEMS) 17, No. 10, 2513--2543 (2015; Zbl 1330.58023) Full Text: DOI arXiv
Zhu, Jiuyi Doubling property and vanishing order of Steklov eigenfunctions. (English) Zbl 1323.47017 Commun. Partial Differ. Equations 40, No. 8, 1498-1520 (2015). MSC: 47A75 35P30 35J65 PDF BibTeX XML Cite \textit{J. Zhu}, Commun. Partial Differ. Equations 40, No. 8, 1498--1520 (2015; Zbl 1323.47017) Full Text: DOI arXiv
Bellová, Katarína; Lin, Fang-Hua Nodal sets of Steklov eigenfunctions. (English) Zbl 1327.35263 Calc. Var. Partial Differ. Equ. 54, No. 2, 2239-2268 (2015). Reviewer: Davide Buoso (Torino) MSC: 35P05 35B05 35J05 35S05 47A75 PDF BibTeX XML Cite \textit{K. Bellová} and \textit{F.-H. Lin}, Calc. Var. Partial Differ. Equ. 54, No. 2, 2239--2268 (2015; Zbl 1327.35263) Full Text: DOI
Kenig, Carlos; Silvestre, Luis; Wang, Jenn-Nan On Landis’ conjecture in the plane. (English) Zbl 1320.35119 Commun. Partial Differ. Equations 40, No. 4, 766-789 (2015). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B60 35J10 35B45 PDF BibTeX XML Cite \textit{C. Kenig} et al., Commun. Partial Differ. Equations 40, No. 4, 766--789 (2015; Zbl 1320.35119) Full Text: DOI arXiv
Gnutzmann, Sven; Lois, Stylianos Remarks on nodal volume statistics for regular and chaotic wave functions in various dimensions. (English) Zbl 1322.35135 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 372, No. 2007, Article ID 20120521, 11 p. (2014). MSC: 35Q82 35R01 35J10 PDF BibTeX XML Cite \textit{S. Gnutzmann} and \textit{S. Lois}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 372, No. 2007, Article ID 20120521, 11 p. (2014; Zbl 1322.35135) Full Text: DOI arXiv
Steinerberger, Stefan Lower bounds on nodal sets of eigenfunctions via the heat flow. (English) Zbl 1304.35455 Commun. Partial Differ. Equations 39, No. 12, 2240-2261 (2014). MSC: 35P15 35J05 35B05 PDF BibTeX XML Cite \textit{S. Steinerberger}, Commun. Partial Differ. Equations 39, No. 12, 2240--2261 (2014; Zbl 1304.35455) Full Text: DOI arXiv
Tian, Long; Yang, Xiaoping Nodal sets and horizontal singular sets of \(\mathbb{H}\)-harmonic functions on the Heisenberg group. (English) Zbl 1307.35309 Commun. Contemp. Math. 16, No. 4, Article ID 1350049, 24 p. (2014). Reviewer: Nathaniel Eldredge (Greeley) MSC: 35R03 35B05 35H10 53C17 22E25 22E30 PDF BibTeX XML Cite \textit{L. Tian} and \textit{X. Yang}, Commun. Contemp. Math. 16, No. 4, Article ID 1350049, 24 p. (2014; Zbl 1307.35309) Full Text: DOI
Davey, Blair Some quantitative unique continuation results for eigenfunctions of the magnetic Schrödinger operator. (English) Zbl 1320.35118 Commun. Partial Differ. Equations 39, No. 5, 876-945 (2014). Reviewer: Laurent Thomann (Nantes) MSC: 35B60 35J10 35J15 35Q55 35P30 PDF BibTeX XML Cite \textit{B. Davey}, Commun. Partial Differ. Equations 39, No. 5, 876--945 (2014; Zbl 1320.35118) Full Text: DOI arXiv
Lin, Ching-Lung; Wang, Jenn-Nan Quantitative uniqueness estimates for the general second order elliptic equations. (English) Zbl 1296.35033 J. Funct. Anal. 266, No. 8, 5108-5125 (2014). MSC: 35J15 35Q60 PDF BibTeX XML Cite \textit{C.-L. Lin} and \textit{J.-N. Wang}, J. Funct. Anal. 266, No. 8, 5108--5125 (2014; Zbl 1296.35033) Full Text: DOI arXiv
Jung, Junehyuk Sharp bounds for the intersection of nodal lines with certain curves. (English) Zbl 1327.53043 J. Eur. Math. Soc. (JEMS) 16, No. 2, 273-288 (2014). Reviewer: Vladimir N. Karpushkin (Moskva) MSC: 53C21 58J50 11M36 PDF BibTeX XML Cite \textit{J. Jung}, J. Eur. Math. Soc. (JEMS) 16, No. 2, 273--288 (2014; Zbl 1327.53043) Full Text: DOI arXiv
Ghosh, Amit; Reznikov, Andre; Sarnak, Peter Nodal domains of Maass forms. I. (English) Zbl 1328.11044 Geom. Funct. Anal. 23, No. 5, 1515-1568 (2013). Reviewer: A. Sankaranarayanan (Mumbai) MSC: 11F12 11F30 81Q50 PDF BibTeX XML Cite \textit{A. Ghosh} et al., Geom. Funct. Anal. 23, No. 5, 1515--1568 (2013; Zbl 1328.11044) Full Text: DOI arXiv
Ignatova, Mihaela; Kukavica, Igor Strong unique continuation for the Navier-Stokes equation with non-analytic forcing. (English) Zbl 1307.35195 J. Dyn. Differ. Equations 25, No. 1, 1-15 (2013). MSC: 35Q30 35B60 PDF BibTeX XML Cite \textit{M. Ignatova} and \textit{I. Kukavica}, J. Dyn. Differ. Equations 25, No. 1, 1--15 (2013; Zbl 1307.35195) Full Text: DOI
Krishnapur, Manjunath; Kurlberg, Pär; Wigman, Igor Nodal length fluctuations for arithmetic random waves. (English) Zbl 1314.60101 Ann. Math. (2) 177, No. 2, 699-737 (2013). Reviewer: Mihai Pascu (Bucureşti) MSC: 60G60 58C40 35P99 35J05 PDF BibTeX XML Cite \textit{M. Krishnapur} et al., Ann. Math. (2) 177, No. 2, 699--737 (2013; Zbl 1314.60101) Full Text: DOI arXiv
Bakri, Laurent Carleman estimates for the Schrödinger operator. Applications to quantitative uniqueness. (English) Zbl 1273.58009 Commun. Partial Differ. Equations 38, No. 1-3, 69-91 (2013). Reviewer: Jean-Marc Bouclet (Toulouse) MSC: 58J05 35B45 35J10 35J15 PDF BibTeX XML Cite \textit{L. Bakri}, Commun. Partial Differ. Equations 38, No. 1--3, 69--91 (2013; Zbl 1273.58009) Full Text: DOI
Shi, Yiqian; Xu, Bin Gradient estimate of a Dirichlet eigenfunction on a compact manifold with boundary. (English) Zbl 1327.35275 Forum Math. 25, No. 2, 229-240 (2013). MSC: 35P15 35J05 35P20 58C40 PDF BibTeX XML Cite \textit{Y. Shi} and \textit{B. Xu}, Forum Math. 25, No. 2, 229--240 (2013; Zbl 1327.35275) Full Text: DOI arXiv
Ariturk, Sinan Lower bounds for nodal sets of Dirichlet and Neumann eigenfunctions. (English) Zbl 1262.58020 Commun. Math. Phys. 317, No. 3, 817-825 (2013). Reviewer: Volker Branding (Wien) MSC: 58J50 58C40 PDF BibTeX XML Cite \textit{S. Ariturk}, Commun. Math. Phys. 317, No. 3, 817--825 (2013; Zbl 1262.58020) Full Text: DOI arXiv
Berkolaiko, Gregory; Kuchment, Peter; Smilansky, Uzy Critical partitions and nodal deficiency of billiard eigenfunctions. (English) Zbl 1308.35152 Geom. Funct. Anal. 22, No. 6, 1517-1540 (2012). MSC: 35P05 35J10 58C40 PDF BibTeX XML Cite \textit{G. Berkolaiko} et al., Geom. Funct. Anal. 22, No. 6, 1517--1540 (2012; Zbl 1308.35152) Full Text: DOI arXiv
Bourgain, Jean; Rudnick, Zeév Restriction of toral eigenfunctions to hypersurfaces and nodal sets. (English) Zbl 1276.53047 Geom. Funct. Anal. 22, No. 4, 878-937 (2012). Reviewer: Paweł Walczak (Łódź) MSC: 53C21 53C40 58J50 PDF BibTeX XML Cite \textit{J. Bourgain} and \textit{Z. Rudnick}, Geom. Funct. Anal. 22, No. 4, 878--937 (2012; Zbl 1276.53047) Full Text: DOI arXiv
Laurent, Bakri Critical sets of eigenfunctions of the Laplacian. (English) Zbl 1252.58018 J. Geom. Phys. 62, No. 10, 2024-2037 (2012). Reviewer: Laurent Guillopé (Nantes) MSC: 58J50 53C21 35P05 49Q15 PDF BibTeX XML Cite \textit{B. Laurent}, J. Geom. Phys. 62, No. 10, 2024--2037 (2012; Zbl 1252.58018) Full Text: DOI arXiv
De Carli, L.; Hudson, S. M. A Faber-Krahn inequality for solutions of Schrödinger’s equation. (English) Zbl 1254.35064 Adv. Math. 230, No. 4-6, 2416-2427 (2012). MSC: 35J10 35B05 26D20 PDF BibTeX XML Cite \textit{L. De Carli} and \textit{S. M. Hudson}, Adv. Math. 230, No. 4--6, 2416--2427 (2012; Zbl 1254.35064) Full Text: DOI
Ignatova, Mihaela; Kukavica, Igor Strong unique continuation for higher order elliptic equations with Gevrey coefficients. (English) Zbl 1246.35055 J. Differ. Equations 252, No. 4, 2983-3000 (2012). Reviewer: Shun-Tang Wu (Zhonghe) MSC: 35B60 35B05 35J30 35B45 PDF BibTeX XML Cite \textit{M. Ignatova} and \textit{I. Kukavica}, J. Differ. Equations 252, No. 4, 2983--3000 (2012; Zbl 1246.35055) Full Text: DOI
Mangoubi, Dan A remark on recent lower bounds for nodal sets. (English) Zbl 1232.58025 Commun. Partial Differ. Equations 36, No. 10-12, 2208-2212 (2011). MSC: 58J50 35P15 PDF BibTeX XML Cite \textit{D. Mangoubi}, Commun. Partial Differ. Equations 36, No. 10--12, 2208--2212 (2011; Zbl 1232.58025) 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 PDF BibTeX XML Cite \textit{J. B. Kennedy}, J. Differ. Equations 251, No. 12, 3606--3624 (2011; Zbl 1223.35242) Full Text: DOI
Colding, Tobias H.; Minicozzi, William P. II Lower bounds for nodal sets of eigenfunctions. (English) Zbl 1238.58020 Commun. Math. Phys. 306, No. 3, 777-784 (2011). Reviewer: Themistocles M. Rassias (Athens) MSC: 58J50 PDF BibTeX XML Cite \textit{T. H. Colding} and \textit{W. P. Minicozzi II}, Commun. Math. Phys. 306, No. 3, 777--784 (2011; Zbl 1238.58020) Full Text: DOI arXiv
Bourgain, Jean; Rudnick, Zeév On the geometry of the nodal lines of eigenfunctions of the two-dimensional torus. (English) Zbl 1227.58008 Ann. Henri Poincaré 12, No. 6, 1027-1053 (2011). Reviewer: Andreas Kleefeld (Cottbus) MSC: 58J50 58C40 PDF BibTeX XML Cite \textit{J. Bourgain} and \textit{Z. Rudnick}, Ann. Henri Poincaré 12, No. 6, 1027--1053 (2011; Zbl 1227.58008) Full Text: DOI arXiv
Bourgain, Jean; Rudnick, Zeév On the nodal sets of toral eigenfunctions. (English) Zbl 1223.58025 Invent. Math. 185, No. 1, 199-237 (2011). Reviewer: Dumitru Motreanu (Perpignan) MSC: 58J50 58C40 PDF BibTeX XML Cite \textit{J. Bourgain} and \textit{Z. Rudnick}, Invent. Math. 185, No. 1, 199--237 (2011; Zbl 1223.58025) Full Text: DOI arXiv
Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan Quantitative uniqueness for second order elliptic operators with strongly singular coefficients. (English) Zbl 1219.35058 Rev. Mat. Iberoam. 27, No. 2, 475-491 (2011). MSC: 35J15 35A02 PDF BibTeX XML Cite \textit{C.-L. Lin} et al., Rev. Mat. Iberoam. 27, No. 2, 475--491 (2011; Zbl 1219.35058) Full Text: DOI Euclid arXiv
Wigman, Igor Fluctuations of the nodal length of random spherical harmonics. (English) Zbl 1213.33019 Commun. Math. Phys. 298, No. 3, 787-831 (2010); erratum ibid. 309, No. 1, 293-294 (2012). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C55 60G57 60G15 62J10 PDF BibTeX XML Cite \textit{I. Wigman}, Commun. Math. Phys. 298, No. 3, 787--831 (2010; Zbl 1213.33019) Full Text: DOI arXiv
Shi, Yiqian; Xu, Bin Gradient estimate of an eigenfunction on a compact Riemannian manifold without boundary. (English) Zbl 1198.35166 Ann. Global Anal. Geom. 38, No. 1, 21-26 (2010). MSC: 35P20 53C21 58J05 35J05 30E25 PDF BibTeX XML Cite \textit{Y. Shi} and \textit{B. Xu}, Ann. Global Anal. Geom. 38, No. 1, 21--26 (2010; Zbl 1198.35166) Full Text: DOI arXiv