Backward Uniqueness for Parabolic Equations

Luis Escauriaza, G. Serëgin, Vladimír Šverák

Type: Article

Publication Date: 2003-05-28

Citations: 199

DOI: https://doi.org/10.1007/s00205-003-0263-8

View Publication

Download PDF

Locations

Archive for Rational Mechanics and Analysis - View
CiteSeer X (The Pennsylvania State University) - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Backward uniqueness for parabolic operators whose coefficients are non-Lipschitz continuous in time	2004	Daniele Del Santo Martino Prizzi
+ PDF Chat	Backward uniqueness for general parabolic operators in the whole space	2019	Jie Wu Liqun Zhang
+	On a forward-backward parabolic equation	1971	Carlo Pagani Giorgio Talenti
+	UNIQUENESS AND STABILITY ESTIMATES FOR A SEMILINEARLY PARABOLIC BACKWARD PROBLEM	2010	XU Ding-hua Haili Zhang
+	Backward continuous dependence for mixed parabolic problems	1967	A. E. Hurd
+	Backwards uniqueness in time for solutions of possibly degenerate equations of parabolic type	1976	J. Chabrowski Raymond Johnson
+	Uniqueness for semilinear parabolic problems	2002	Beatrice Wollenmann
+	A Time Regularity Result for Forward-Backward Parabolic Equations	2011	Fabio Paronetto
+	The Riemann problem for a forward–backward parabolic equation	2009	Brian H. Gilding Alberto Tesei
+ PDF Chat	On the backward uniqueness property for a class of parabolic operators	2006	Daniele Del Santo Martino Prizzi
+	On the backward uniqueness property for a class of parabolic operators	2006	Daniele Del Santo Martino Prizzi
+	On forward-backward parabolic equations in bounded domains	1976	Carlo Pagani
+	Existence and invariance for parabolic functional equations	1983	J. Bebernes Richard T. Ely
+	Nonuniqueness of solutions for a class of forward–backward parabolic equations	2016	Michiel Bertsch Flavia Smarrazzo Alberto Tesei
+ PDF Chat	Uniqueness Theorems for Certain Parabolic Problems	1952	F. A. Ficken
+ PDF Chat	Backward lower bounds for solutions of mixed parabolic problems.	1970	A. E. Hurd
+ PDF Chat	On the backward parabolic equation: a critical survey of some current methods	1990	Dang-Dinh Ang
+	On backward uniqueness for parabolic equations when Osgood continuity of the coefficients fails at one point	2020	Daniele Del Santo Martino Prizzi
+	On backward uniqueness for parabolic equations when Osgood continuity of the coefficients fails at one point	2020	Daniele Del Santo Martino Prizzi
+	PARABOLIC EQUATIONS	1957	John C. Nash

Works That Cite This (198)

Action	Title	Year	Authors
+	A new class of regularity criteria for the MHD and Navier–Stokes equations	2023	Zdeněk Skalák
+ PDF Chat	L 3,∞-solutions to the MHD equations	2007	Alex Mahalov B. Nicolaenko Timofey Shilkin
+	A generalized regularity criterion for 3D Navier–Stokes equations in terms of one velocity component	2015	Chenyin Qian
+ PDF Chat	Prodi–Serrin condition for 3D Navier–Stokes equations via one directional derivative of velocity	2021	Hui Chen Wenjun Le Chenyin Qian
+	Backward uniqueness for the conformal Ricci flow	2017	Xiaomei Sun Anqiang Zhu
+	Critical regularity criteria for Navier-Stokes equations in terms of one directional derivative of the velocity	2020	Hui Chen Daoyuan Fang Ting Zhang
+	Two regularity criteria for the 3D MHD equations	2009	Chongsheng Cao Jiahong Wu
+ PDF Chat	Some New Regularity Criteria for the Navier-Stokes Equations Containing Gradient of the Velocity	2004	Patrick Penel Milan Pokorný
+	Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness	2019	Lisa Beck Franco Flandoli Massimiliano Gubinelli Mario Maurelli
+ PDF Chat	Decay at infinity for solutions to some fractional parabolic equations	2024	Agnid Banerjee Abhishek Ghosh

Works Cited by This (20)

Action	Title	Year	Authors
+	Carleman inequalities and the heat operator	2000	Luis Escauriaza
+	A uniqueness theorem for parabolic equations	1990	Fang Lin
+	StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions	1984	Tosio Kato
+	A strong unique continuation theorem for parabolic equations	1998	Xu-Yan Chen
+	Qnique Continuation for	1996	Chi‐Cheung Poon
+ PDF Chat	Carleman inequalities and the heat operator II	2001	Luis Escauriaza Luis Vega
+	Unique continuation for some evolution equations	1987	Jean‐Claude Saut Bruno Scheurer
+	Unique Continuation for Parabolic Operators. II	2003	Javier Fernández
+	Linear Partial Differential Operators	1963	Lars Hörmander
+	Linear and Quasi-linear Equations of Parabolic Type	1968	O. Ladyženskaja V. A. Solonnikov N. Ural’ceva