The Malliavin calculus and the hypoellipticity of second order degenerate elliptic differential operators

Lecture Notes in Mathematics - Probability Theory and Mathematical Statistics ◽

10.1007/bfb0072934 ◽

1983 ◽

pp. 365-371

Author(s):

Shigeo Kusuoka

Keyword(s):

Malliavin Calculus ◽

Differential Operators ◽

Second Order ◽

Degenerate Elliptic ◽

Elliptic Differential Operators ◽

Order Degenerate

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Estimates for the asymptotic behavior of solutions of the Helmholtz equation, with an application to second order elliptic differential operators with variable coefficients

Mathematische Zeitschrift ◽

10.1007/bf01174802 ◽

1979 ◽

Vol 167 (3) ◽

pp. 213-226 ◽

Author(s):

Hans-Dieter Alber

Keyword(s):

Asymptotic Behavior ◽

Helmholtz Equation ◽

Differential Operators ◽

Variable Coefficients ◽

Second Order ◽

Asymptotic Behavior Of Solutions ◽

Elliptic Differential Operators

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Bounds for eigenvalues of second-order elliptic differential operators

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf00944567 ◽

1991 ◽

Vol 42 (6) ◽

pp. 848-863 ◽

Author(s):

Michael Plum

Keyword(s):

Differential Operators ◽

Second Order ◽

Elliptic Differential Operators

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Model Classes of Degenerate Elliptic Differential Operators

Degenerate Elliptic Equations ◽

10.1007/978-94-017-1215-6_3 ◽

1993 ◽

pp. 75-127

Author(s):

Serge Levendorskii

Keyword(s):

Differential Operators ◽

Degenerate Elliptic ◽

Elliptic Differential Operators

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Jump discontinuous viscosity solutions to second order degenerate elliptic equations

Nonlinear Analysis ◽

10.1016/j.na.2014.11.008 ◽

2015 ◽

Vol 119 ◽

pp. 469-483 ◽

Author(s):

G. Chobanov ◽

B. Kawohl ◽

N. Kutev

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Second Order ◽

Degenerate Elliptic Equations ◽

Degenerate Elliptic ◽

Order Degenerate ◽

Discontinuous Viscosity Solutions

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On the principal eigenvalue of second-order elliptic differential operators

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160290606 ◽

1976 ◽

Vol 29 (6) ◽

pp. 595-621 ◽

Author(s):

M. D. Donsker ◽

S. R. S. Varadhan

Keyword(s):

Differential Operators ◽

Principal Eigenvalue ◽

Second Order ◽

Elliptic Differential Operators

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Harnack inequality for a class of second-order degenerate elliptic equations

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543812060016 ◽

2012 ◽

Vol 278 (1) ◽

pp. 1-9 ◽

Author(s):

Yu. A. Alkhutov ◽

E. A. Khrenova

Keyword(s):

Harnack Inequality ◽

Elliptic Equations ◽

Second Order ◽

Degenerate Elliptic Equations ◽

Degenerate Elliptic ◽

Order Degenerate

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Spectral asymptotics of a class of non-self-adjoint degenerate elliptic differential operators

Russian Mathematical Surveys ◽

10.1070/rm1990v045n02abeh002349 ◽

1990 ◽

Vol 45 (2) ◽

pp. 207-208

Author(s):

R K Alikulov ◽

K Kh Boimatov

Keyword(s):

Differential Operators ◽

Spectral Asymptotics ◽

Degenerate Elliptic ◽

Elliptic Differential Operators

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Uniform Sobolev inequalities for second order non-elliptic differential operators

Advances in Mathematics ◽

10.1016/j.aim.2016.07.016 ◽

2016 ◽

Vol 302 ◽

pp. 323-350 ◽

Author(s):

Eunhee Jeong ◽

Yehyun Kwon ◽

Sanghyuk Lee

Keyword(s):

Differential Operators ◽

Second Order ◽

Sobolev Inequalities ◽

Elliptic Differential Operators

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Markovian extensions of symmetric second order elliptic differential operators

Mathematische Nachrichten ◽

10.1002/mana.201300277 ◽

2014 ◽

Vol 287 (16) ◽

pp. 1848-1885 ◽

Author(s):

Andrea Posilicano

Keyword(s):

Differential Operators ◽

Second Order ◽

Elliptic Differential Operators

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Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order

Proceedings of the Japan Academy ◽

10.3792/pja/1195521686 ◽

1967 ◽

Vol 43 (2) ◽

pp. 82-86 ◽

Author(s):

Daisuke Fujiwara

Keyword(s):

Differential Operators ◽

Second Order ◽

Fractional Powers ◽

Elliptic Differential Operators ◽

Concrete Characterization

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