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A three-curves theorem for viscosity subsolutions of parabolic equations

Author(s): Jay Kovats
Journal: Proc. Amer. Math. Soc. 131 (2003), 1509-1514.
MSC (2000): Primary 35B05, 35K55
Posted: September 4, 2002
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Abstract: We prove a three-curves theorem for viscosity subsolutions of fully nonlinear uniformly parabolic equations $F(D^{2}u,t,x)-u_{t}=0$.

References:

[CC]
L. Caffarelli and X. Cabre, Fully Nonlinear Elliptic Equations, Amer. Math. Soc., Providence, R.I., 1995. MR 96h:35046

[G]
R.J. Glagelova, The three-cylinder theorem and its applications, vol. 6, Dokl. Akad. Nauka S.S.S.R, Moscow, 1965, pp. 1004-1008, Translated in Soviet Math.

[L]
E.M. Landis, A three-sphere theorem, vol. 4, Dokl. Akad. Nauka S.S.S.R, Moscow, 1963, pp. 76-78, Translated in Soviet Math. MR 27:443

[M]
K. Miller, Three-circle theorems in Partial Differential Equations and Applications to Improperly Posed Problems, vol. 16, Arch. for Rat. Mech. and Anal., 1964, pp. 126-154. MR 29:1435

[PW]
M. Protter and H. Weinberger, Maximum Priciples in Differential Equations, Springer-Verlag, New York, 1984. MR 86f:35034

[W]
Wang L., On the Regularity Theory of Fully Nonlinear Parabolic Equations I, Comm. on Pure and Applied Math. 45 (1992), 27-76. MR 92m:35126

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Additional Information:

Jay Kovats
Affiliation: Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901
Email: jkovats@zach.fit.edu

DOI: 10.1090/S0002-9939-02-06664-9
PII: S 0002-9939(02)06664-9
Received by editor(s): December 15, 2001
Posted: September 4, 2002
Communicated by: David S. Tartakoff
Copyright of article: Copyright 2002, American Mathematical Society

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