Asymptotics of the first nodal line of a convex domain

Inventiones Mathematicae

Volumn 125, Issue 2, 1996, Pages 197-219

  Grieser, Daniel ^a   Jerison, David ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040601496     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050073     Document Type: Article

References (10)

1. Personal communication from T. Driscoll; the program will appear in his thesis at Cornell University
2. Fromm, S.J.: Potential Space Estimates for Green Potentials in Convex Domains, Proc. AMS 119 (1993) 225-233
3. Grieser, D., Jerison, D.: Asymptotics of the first nodal line, Journées Equations aux dérivées partielles, St.-Jean-de-Monts, Ecole Polytechnique, Palaiseau (to appear)
4. Grüter, M., Widman, K.-O.: The Green function for uniformly elliptic equations, Manus. Math. 37 (1982) 302-342
5. Jerison, D.: The diameter of the first nodal line of a convex domain. Ann. Math. 141 (1995) 1-33
6. Jerison, D.: The first nodal line of a convex planar domain, Internat. Math. Research Notes 1 (1991) 1-5 (in Duke Math. J. vol. 62)
7. Jerison, D.: The first nodal line of a convex planar domain, Internat. Math. Research Notes 1 (1991) 1-5 (in Duke Math. J. vol. 62)
8. Jerison, D.: Eigenfunctions and harmonic functions in convex and concave domains, Proc. Int. Congress Math. Zürich, 1994 (to appear)
9. Protter, M.H., Weinberger, H.F.: Maximum Principles in Differential Equations. Springer Verlag, New York, 1984
10. Spiegel, W.: Uber die Symmetrisierung stetiger Funktionen im euklidischen Raum. Arch. Math. 24 (1973) 545-551