The Geometric Microlocal Analysis of Generalized Kimura and Heston Diffusions

Charles L. Epstein, Rafe Mazzeo

Type: Book-Chapter

Publication Date: 2014-01-01

Citations: 9

DOI: https://doi.org/10.1007/978-3-319-04214-5_14

View Publication

Locations

Progress in nonlinear differential equations and their applications - View

Similar Works

Action	Title	Year	Authors
+	Invariant measures of diffusions with gradient drifts	2010	В. И. Богачев А. И. Кириллов С. В. Шапошников
+	A Nonstandard Approach to Diffusions on Manifolds and Nonstandard Heat Kernels	1995	Hiroshi Akiyama
+	Heat kernels in geometric evolution equations	2006	Joseph F. Grotowski
+	Boundary Harnack principle for diffusion with jumps	2022	Zhen-Qing Chen Jieming Wang
+	Transformations of diffusions with jumps	2008	A. N. Borodin
+	Degenerate Boundary Conditions for the Diffusion Operator on a Geometric Graph	2020	В. А. Садовничий Ya. T. Sultanaev A. M. Akhtyamov
+	Diffusions and PDEs on Wasserstein Space	2019	Feng‐Yu Wang
+	The entropy production and circulation of diffusion processes on manifolds	1997	Maozheng Guo Min Qian Zhengdong Wang
+	The entropy production and circulation of diffusion processes on manifolds	1997	Guo Mz Qian Qian Wang Zd
+	Brownian Motion and the Laplacian	2016	Hiroyuki Matsumoto Setsuo Taniguchi
+	Geometric aspects of diffusions on manifolds	1988	David Elworthy
+	Diffusions and Laplacians on Lagrange Manifolds	1998	P. L. Antonelli D. Hrimiuc
+	Brownian motion and the heat kernel on Riemannian manifolds	1989	Martin N. Ndumu
+	Geometry of sub-Riemannian diffusion processes	2018	Karen Habermann
+ PDF Chat	Invariant Measure for Diffusions with Jumps	1999	José‐Luis Menaldi Maurice Robin
+	Mathematics of non-classical diffusion	1982	Alexander Iowa Lee
+	Gamma-Limit of the Onsager--Machlup Functional on the Space of Curves	2021	Tiejun Li Xiaoguang Li
+ PDF Chat	Diffusion Processes on Manifolds	1981
+	Nonstandard energy forms and diffusions on manifolds and fractals	2008	Tom Lindstrøm
+	Reversible diffusion processes on manifolds	1987	Terry Lyons

Works That Cite This (9)

Action	Title	Year	Authors
+	Initial-boundary value problems for conservative Kimura-type equations: solvability, asymptotic and conservation law	2023	Marina Chugunova Roman M. Taranets Nataliya Vasylyeva
+ PDF Chat	Existence and regularity results for a degenerate elliptic nonlinear equation on weighted Sobolev spaces	2022	Morteza Koozehgar Kalleji Mohsen Alimohammady Carlo Cattani
+ PDF Chat	Multiple solutions for some strongly degenerate second order elliptic equations	2021	João R. Santos Júnior Gaetano Siciliano
+	Multiple solutions for some strongly degenerate second order elliptic equations	2020	João R. Santos Júnior Gaetano Siciliano
+	The fundamental solution to 1D degenerate diffusion equation with one-sided boundary	2020	Linan Chen Ian Weih-Wadman
+ PDF Chat	Existence and regularity results for a degenerate elliptic nonlinear equation on weighted Sobolev spaces	2023	Mohsen Alimohammady Carlo Cattani Morteza Koozehgar Kalleji
+ PDF Chat	Harnack Inequalities and Heat Kernel Estimates for Degenerate Diffusion Operators Arising in Population Biology	2016	Charles L. Epstein Rafe Mazzeo
+ PDF Chat	Boundary triples for a family of degenerate elliptic operators of Keldysh type	2024	François Monard Yuzhou Zou
+	Boundary triples for a family of degenerate elliptic operators of Keldysh type	2023	François Monard Yuzhou Zou

Works Cited by This (15)

Action	Title	Year	Authors
+	The Atiyah-Patodi-Singer Index Theorem	1993	Richard Melrose
+	PARTIAL DIFFERENTIAL OPERATORS WITH NON-NEGATIVE CHARACTERISTIC FORM, MAXIMUM PRINCIPLES, AND UNIQUENESS FOR BOUNDARY VALUE AND OBSTACLE PROBLEMS	2013	Paul M. N. Feehan
+ PDF Chat	Regularity of the free boundary for the porous medium equation	1998	P. Daskalopoulos Robert Hamilton
+ PDF Chat	Degenerate Diffusion Operators Arising in Population Biology	2013	Charles L. Epstein Rafe Mazzeo
+ PDF Chat	Ricci flow on surfaces with conic singularities	2015	Rafe Mazzeo Yanir A. Rubinstein Nataša Šešum
+	Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature	1987	Rafe Mazzeo Richard Melrose
+ PDF Chat	Resolvent of the Laplacian on strictly pseudoconvex domains	1991	Charles L. Epstein Richard Melrose Gerardo A. Mendoza
+	Heat kernel asymptotics on manifolds with conic singularities	1999	Edith A. Mooers
+ PDF Chat	A renormalized index theorem for some complete asymptotically regular metrics: The Gauss–Bonnet theorem	2007	Pierre Albin
+	Elliptic theory of differential edge operators I	1991	Rafe Mazzeo