The stochastic solution to a Cauchy problem for degenerate parabolic equations

Xiaoshan Chen; Yu-Jui Huang; Qingshuo Song; Chao Zhu

doi:10.1016/j.jmaa.2017.02.021

The stochastic solution to a Cauchy problem for degenerate parabolic equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.02.021 ◽

2017 ◽

Vol 451 (1) ◽

pp. 448-472

Author(s):

Xiaoshan Chen ◽

Yu-Jui Huang ◽

Qingshuo Song ◽

Chao Zhu

Keyword(s):

Cauchy Problem ◽

Parabolic Equations ◽

Degenerate Parabolic Equations ◽

Stochastic Solution ◽

Degenerate Parabolic

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Principle of localization of solutions of the Cauchy problem for one class of degenerate parabolic equations of Kolmogorov type

Ukrainian Mathematical Journal ◽

10.1007/s11253-011-0462-7 ◽

2011 ◽

Vol 62 (11) ◽

pp. 1707-1728

Author(s):

V. A. Litovchenko ◽

O. V. Strybko

Keyword(s):

Cauchy Problem ◽

Parabolic Equations ◽

Degenerate Parabolic Equations ◽

Kolmogorov Type ◽

The Cauchy Problem ◽

Degenerate Parabolic

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Fundamental solutions of the Cauchy problem for some degenerate parabolic equations of the Kolmogorov type

Ukrainian Mathematical Journal ◽

10.1007/s11253-012-0606-4 ◽

2012 ◽

Vol 63 (11) ◽

pp. 1670-1705

Author(s):

S. D. Ivasyshen ◽

V. V. Layuk

Keyword(s):

Cauchy Problem ◽

Parabolic Equations ◽

Fundamental Solutions ◽

Degenerate Parabolic Equations ◽

Kolmogorov Type ◽

The Cauchy Problem ◽

Degenerate Parabolic

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Uniqueness of the solutions of the cauchy problem and of boundary-value problems in unbounded domains for certain classes of nonlinear degenerate parabolic equations

Journal of Soviet Mathematics ◽

10.1007/bf01097157 ◽

1989 ◽

Vol 45 (5) ◽

pp. 1374-1388

Author(s):

N. O. Maksimova

Keyword(s):

Cauchy Problem ◽

Boundary Value Problems ◽

Parabolic Equations ◽

Boundary Value ◽

Unbounded Domains ◽

Degenerate Parabolic Equations ◽

The Cauchy Problem ◽

Nonlinear Degenerate Parabolic Equations ◽

Degenerate Parabolic ◽

Nonlinear Degenerate

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The Cauchy problem for a class of degenerate parabolic equations and asymptotic properties of the related diffusion processes

Journal of Differential Equations ◽

10.1016/0022-0396(69)90013-8 ◽

1969 ◽

Vol 6 (2) ◽

pp. 209-231 ◽

Cited By ~ 24

Author(s):

Harold J Kushner

Keyword(s):

Cauchy Problem ◽

Parabolic Equations ◽

Diffusion Processes ◽

Asymptotic Properties ◽

Degenerate Parabolic Equations ◽

The Cauchy Problem ◽

Degenerate Parabolic

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Conditions for the Time Global Existence and Nonexistence of a Compact Support of Solutions to the Cauchy Problem for Quasilinear Degenerate Parabolic Equations

Siberian Mathematical Journal ◽

10.1023/b:simj.0000013021.66528.b6 ◽

2004 ◽

Vol 45 (1) ◽

pp. 155-164 ◽

Cited By ~ 24

Author(s):

A. F. Tedeev

Keyword(s):

Cauchy Problem ◽

Global Existence ◽

Compact Support ◽

Parabolic Equations ◽

Degenerate Parabolic Equations ◽

Existence And Nonexistence ◽

The Cauchy Problem ◽

Degenerate Parabolic

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Asymptotic expansion of solutions to the Cauchy problem for doubly degenerate parabolic equations with measurable coefficients

Nonlinear Analysis ◽

10.1016/j.na.2015.09.006 ◽

2016 ◽

Vol 138 ◽

pp. 111-126 ◽

Cited By ~ 5

Author(s):

Roberto Gianni ◽

Anatoli Tedeev ◽

Vincenzo Vespri

Keyword(s):

Cauchy Problem ◽

Asymptotic Expansion ◽

Parabolic Equations ◽

Degenerate Parabolic Equations ◽

Measurable Coefficients ◽

The Cauchy Problem ◽

Degenerate Parabolic ◽

Asymptotic Expansion Of Solutions

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Recent results on the Cauchy problem and initial traces for degenerate parabolic equations

Problems Involving Change of Type - Lecture Notes in Physics ◽

10.1007/3-540-52595-5_94 ◽

2008 ◽

pp. 175-190

Author(s):

E. DiBenedetto

Keyword(s):

Cauchy Problem ◽

Parabolic Equations ◽

Degenerate Parabolic Equations ◽

The Cauchy Problem ◽

Degenerate Parabolic

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Analytic regularity of solutions to the Cauchy problem for degenerate parabolic equations

Tsukuba Journal of Mathematics ◽

10.21099/tkbjm/1496164287 ◽

2001 ◽

Vol 25 (2) ◽

pp. 261-277

Author(s):

Hironobu Honda

Keyword(s):

Cauchy Problem ◽

Parabolic Equations ◽

Degenerate Parabolic Equations ◽

Regularity Of Solutions ◽

The Cauchy Problem ◽

Degenerate Parabolic ◽

Analytic Regularity

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Cauchy Problem of Some Doubly Degenerate Parabolic Equations with Initial Datum a Measure

Acta Mathematica Sinica English Series ◽

10.1007/s10114-004-0375-6 ◽

2004 ◽

Vol 20 (4) ◽

pp. 663-682 ◽

Cited By ~ 13

Author(s):

Hui Jun Fan

Keyword(s):

Cauchy Problem ◽

Parabolic Equations ◽

Degenerate Parabolic Equations ◽

Degenerate Parabolic

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Long-time behaviour of the solution to the Cauchy problem for degenerate parabolic equations with nonpower nonlinearities

Applicable Analysis ◽

10.1080/00036811.2021.1929933 ◽

2021 ◽

pp. 1-10

Author(s):

Anatoli F. Tedeev ◽

Azamat I. Tedeev

Keyword(s):

Cauchy Problem ◽

Parabolic Equations ◽

Degenerate Parabolic Equations ◽

Time Behaviour ◽

Long Time Behaviour ◽

The Cauchy Problem ◽

Long Time ◽

Degenerate Parabolic

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