About a singular parabolic equation arising in thin film dynamics and in the ricci flow for complete ℝ2

Partial Differential Equations and Applications: Collected Papers in Honor of Carlo Pucci

Volumn , Issue , 2017, Pages 103-119

  DiBenedetto, Emmanuele ^a   Diller, David J ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

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EID: 85053525797     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1201/9780203744369     Document Type: Chapter

References (10)

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2. S. Cohn-Vossen, Kürzeste Wege und Totalkrümmung auf Flächen, Compositio Math. Vol. 2 (1935), pp. 69-133.
3. P. Daskalopoulos and M. Del Pino, On Fast Diffusion Nonlinear Heat Equations and Related Singular Elliptic Problems, Indiana Univ. Math. J. Vol. 43 # 2(1994), pp. 703-728.
4. S.H. Davis, E. DiBenedetto and D. J. Diller, Some A Priori Estimates For A Singular Evolution Equation Arising In Thin Film Dynamics, SIAM J. on Math. Analysis, (to appear).
5. 2), (to appear).
6. R.S. Hamilton, The Ricci Flow on Surfaces, Math, and Gen. Relativity; Contemporary Mathematics # 71 (1988) pp. 237-262.
7. A. Huber, On Subharmonic Functions and Differential Geometry in the Large, Comm. Math. Helvetici, Vol. 32 (1957) pp. 13-72.
8. J.J. Stoker, Differential Geometry, Wiley-Interscience, New York, 1969.
9. M.B. Williams and S.H. Davis, Non Linear Theory of Film Rupture, Jour, of Colloidal and Interface Sc. Vol. 90 #1(1982) pp. 220-228.
10. 2, Preprint Austr. Natl. Univ. 1991.