Paul Sacks

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All published works

Action	Title	Year	Authors
+	Numerical Solutions for Space Fractional Schrödinger Equation Through Semiclassical Approximation	2024	Yijin Gao Paul Sacks Songting Luo
+ PDF Chat	An inverse problem to determine the shape of a human vocal tract	2021	Tuncay Aktosun Paul Sacks Xiao‐Chuan Xu
+	Evaluation of electrical conductivity and magnetic permeability variations with depth from surface voltage measurements	2020	John R. Bowler Nguyễn Trung Thành Paul Sacks
+	Transmission inverse problem with partial information about the source	2019	Paul Sacks
+ PDF Chat	Determining the shape of a human vocal tract from pressure measurements at the lips	2017	Tuncay Aktosun Alicia Machuca Paul Sacks
+	Spectra and Green’s Functions for Differential Operators	2017	Paul Sacks
+	Distributions and Differential Equations	2017	Paul Sacks
+	Spectrum of an Operator	2017	Paul Sacks
+	Further Study of Integral Equations	2017	Paul Sacks
+	Some Basic Discussion of Differential and Integral Equations	2017	Paul Sacks
+	Weak Solutions of Partial Differential Equations	2017	Paul Sacks
+	Fourier Analysis	2017	Paul Sacks
+	Compact Operators	2017	Paul Sacks
+	Unbounded Operators	2017	Paul Sacks
+	Metric Spaces	2017	Paul Sacks
+	Distribution Spaces	2017	Paul Sacks
+	Coefficient identification for cubically anisotropic elastic media	2015	Meltem Altunkaynak Paul Sacks V. G. Yakhno
+ PDF Chat	Inverse eigenvalue problem for a simple star graph	2015	William Rundell Paul Sacks
+ PDF Chat	Inverse problems for selfadjoint Schrödinger operators on the half line with compactly supported potentials	2015	Tuncay Aktosun Paul Sacks Mehmet Unlu
+	Inverse Spectral Problems: 1-D, Algorithms	2015	Paul Sacks
+	Semi-linear elliptic and elliptic-parabolic equations with Wentzell boundary conditions and $L^1$-data	2013	Mahamadi Warma Paul Sacks
+	An Inverse Eigenvalue Problem for a Vibrating String with Two Dirichlet Spectra	2013	William Rundell Paul Sacks
+ PDF Chat	Uniqueness for a hyperbolic inverse problem with angular control on the coefficients	2011	Rakesh Rakesh Paul Sacks
+	Numerical solution of the inverse spectral problem for Bessel operators	2010	Rostyslav Hryniv Paul Sacks
+	Uniqueness for a hyperbolic inverse problem with angular control on the coefficients	2010	Rakesh Rakesh Paul Sacks
+ PDF Chat	Stability for an inverse problem for a two-speed hyperbolic PDE in one space dimension	2009	Rakesh Rakesh Paul Sacks
+	Computational methods for some inverse scattering problems	2008	Paul Sacks Jaemin Shin
+	Singularity formation in non‐linear evolution equations	2004	Марек Фила Paul Sacks
+	Numerical technique for the inverse resonance problem	2004	William Rundell Paul Sacks
+ PDF Chat	Potential splitting and numerical solution of the inverse scattering problem on the line	2002	Tuncay Aktosun Paul Sacks
+	Reconstruction of a Radially Symmetric Potential from Two Spectral Sequences	2001	William Rundell Paul Sacks
+ PDF Chat	Inversion of Reflectivity Data for Nondecaying Potentials	2000	Paul Sacks Tuncay Aktosun
+	The Inverse Problem for a Layered Anisotropic Half Space	1998	Paul Sacks V. G. Yakhno
+ PDF Chat	Inverse problem on the line without phase information	1998	Tuncay Aktosun Paul Sacks
+	Solution of inverse problems in electromagnetic NDE using finite element methods	1998	Ming Yan Satish Udpa S. Mandayam Yongrong Sun Paul Sacks W. Lord
+ PDF Chat	Recovery of singularities from amplitude information	1997	Paul Sacks
+	Inverse Scattering in Acoustic Media Using Interior Transmission Eigenvalues	1997	Joyce R. McLaughlin Paul Sacks Manjula Somasundaram
+	Inverse Problems in Wave Propagation	1997	Guy Chavent Paul Sacks George Papanicolaou William W. Symes
+ PDF Chat	Impedance inversion from transmission data for the wave equation	1996	Rakesh Rakesh Paul Sacks
+	On the determination of potentials without bound state data	1994	William Rundell Paul Sacks
+ PDF Chat	Reconstruction of a Spherically Symmetric Speed of Sound	1994	Joyce R. McLaughlin Peter L. Polyakov Paul Sacks
+	Use of Partial Knowledge of the Potential in the Phase Problem of Inverse Scattering	1994	Michael V. Klibanov Paul Sacks
+	Reconstruction of steplike potentials	1993	Paul Sacks
+	<title>Numerical determination of potentials</title>	1992	William Rundell Paul Sacks
+	Phaseless inverse scattering and the phase problem in optics	1992	Michael V. Klibanov Paul Sacks
+	The reconstruction of Sturm-Liouville operators	1992	William Rundell Paul Sacks
+ PDF Chat	Reconstruction techniques for classical inverse Sturm-Liouville problems	1992	William Rundell Paul Sacks
+ PDF Chat	Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems	1992	William Rundell Paul Sacks
+ PDF Chat	Limiting Behavior of Solutions of $\bf u_t=\D u^m$ as $\bf m\to\infty$	1991	Paul Sacks
+	Behavior Near t=0 for Solutions of the Dirichlet Problem for<i>u(t)</i>= δφ(u)−<i>f(u)</i>in Bounded Domains	1991	Paul Sacks
+	A Velocity Inversion Problem Involving an Unknown Source	1990	Paul Sacks
+	A singular limit problem for the porous medium equation	1989	Paul Sacks
+	Velocity inversion from common offset data	1989	Paul Sacks William W. Symes
+ PDF Chat	Analysis of a Convective Reaction-Diffusion Equation II	1989	Harold Levine L. E. Payne Paul Sacks Brian Straughan
+	Analysis of a convective reaction-diffusion equation	1988	Tsu-Fen Chen Howard A. Levine Paul Sacks
+	An iterative method for the inverse Dirichlet problem	1988	Paul Sacks
+	Universal decay in nonlinear parabolic equations	1988	Paul Sacks
+	Qualitative Behavior for a Class of Reaction-Diffusion-Convection Equations	1988	Paul Sacks
+	SomeL 1 existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions	1988	Philippe Benilán Michael G. Crandall Paul Sacks
+	Some linearized inverse problems for acoustic media	1987	Paul Sacks
+	A Simple Computational Scheme for Determining the Sound Speed of an Acoustic Medium from Its Surface Impulse Response	1987	Paul Sacks Fadel Santosa
+	The Number of Peaks of Positive Solutions of Semilinear Parabolic Equations	1985	Wei‐Ming Ni Paul Sacks
+	Global Behavior for a Class of Nonlinear Evolution Equations	1985	Paul Sacks
+ PDF Chat	Singular behavior in nonlinear parabolic equations	1985	Wei‐Ming Ni Paul Sacks
+ PDF Chat	Singular Behavior in Nonlinear Parabolic Equations	1985	Wei - Ming Ni Paul Sacks
+	Uniqueness and continuous dependence for a multidimensional hyperbolic inverse problem	1985	Paul Sacks William W. Symes
+	On the asymptotic behavior of solutions of certain quasilinear parabolic equations	1984	Wei‐Ming Ni Paul Sacks John Tavantzis
+	Some existence and nonexistence theorems for solutions of degenerate parabolic equations	1984	Howard A. Levine Paul Sacks
+	Continuity of solutions of a singular parabolic equation	1983	Paul Sacks
+	The initial and boundary value problem for a class of degenerate parabolic equations	1983	Paul Sacks
+	Existence and Regularity of Solutions of Inhomogeneous Porous Medium Type Equations.	1981	Paul Sacks

Common Coauthors

Coauthor	Papers Together
William Rundell	9
Rakesh Rakesh	4
Tuncay Aktosun	4
William W. Symes	3
Wei‐Ming Ni	3
V. G. Yakhno	2
Howard A. Levine	2
Joyce R. McLaughlin	2
Michael V. Klibanov	2
Tuncay Aktosun	2
Mehmet Unlu	1
Yijin Gao	1
Harold Levine	1
Meltem Altunkaynak	1
Rostyslav Hryniv	1
Jaemin Shin	1
Xiao‐Chuan Xu	1
Wei - Ming Ni	1
Nguyễn Trung Thành	1
Michael G. Crandall	1
John Tavantzis	1
John R. Bowler	1
Tsu-Fen Chen	1
Satish Udpa	1
S. Mandayam	1
Fadel Santosa	1
Philippe Benilán	1
George Papanicolaou	1
L. E. Payne	1
Brian Straughan	1
W. Lord	1
Songting Luo	1
Yongrong Sun	1
Mahamadi Warma	1
Alicia Machuca	1
Peter L. Polyakov	1
Guy Chavent	1
Manjula Somasundaram	1
Марек Фила	1
Ming Yan	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the determination of a differential equation from its spectral function	1987	I. M. Gel'fand	12
+ PDF Chat	Reconstruction techniques for classical inverse Sturm-Liouville problems	1992	William Rundell Paul Sacks	12
+	Inverse scattering on the line	1979	Percy Deift Eugene Trubowitz	11
+	Linear and Quasi-linear Equations of Parabolic Type	1968	O. Ladyženskaja V. A. Solonnikov N. Ural’ceva	10
+	Inverse Problems in Quantum Scattering Theory	1977	Khosrow Chadan Pierre Sabatier	9
+	Inverse Sturm-Liouville Problems	1987	B. M. Levitan	9
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	8
+	Reconstruction of steplike potentials	1993	Paul Sacks	8
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin	8
+	Application of Nonlinear Semigroup Theory to Certain Partial Differential Equations	1978	Lawrence C. Evans	8
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss	7
+	Functional Analysis, Sobolev Spaces and Partial Differential Equations	2010	Haı̈m Brezis	7
+	The One-Dimensional Inverse Problem of Reflection Seismology	1983	Kenneth P. Bube Robert Burridge	7
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡	7
+	Qualitative Theory of Ordinary Differential Equations. An Introduction.	1971	F. S. Van Vleck Fred Brauer John A. Nohel	7
+	Inverse Problems in Quantum Scattering Theory	1989	K. Chadan Pierre Sabatier Roger G. Newton	7
+	Inverse Spectral Theory	1987	Jürgen Pöschel Eugene Trubowitz	7
+	On the determination of a differential equation from its spectral function	1955	I. M. Ge′lfand B. M. Levitan	7
+	The Analysis of Linear Partial Differential Operators II	2005	Lars Hörmander	6
+	The identity of weak and strong extensions of differential operators	1944	Kurt Friedrichs	6
+	Impedance profile inversion via the first transport equation	1983	William W. Symes	6
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	6
+	Integral Equation Methods in Scattering Theory	2013	David Colton Rainer Kreß	6
+ PDF Chat	On convergence and growth of partial sums of Fourier series	1966	Lennart Carleson	6
+	Partial differential equations	2021	Brent J. Lewis E. Nihan Onder Andrew A. Prudil	6
+	Semigroups of Linear Operators and Applications to Partial Differential Equations	1983	A. Pazy	6
+ PDF Chat	Finite Hilbert transforms in 𝐿^{𝑝}	1972	R. K. Juberg	6
+	The inversion of acoustical impedance profile by methods of characteristics	1982	Fadil Santosa Horst Schwetlick	5
+	An introduction to non-harmonic Fourier series	2001	Robert M. Young	5
+ PDF Chat	None	1985	Amy Cohen Thomas Kappeler	5
+ PDF Chat	Symmetry and related properties via the maximum principle	1979	Basilis Gidas Wei‐Ming Ni Louis Nirenberg	5
+	Variational Methods for Eigenvalue Approximation	1974	Hans F. Weinberger	5
+	On the Relation between Coefficient and Boundary Values for Solutions of Webster’s Horn Equation	1986	William W. Symes	5
+	An introduction to nonharmonic Fourier series	1980	Robert M. Young	5
+	On the growth of solutions of quasi‐linear parabolic equations	1963	S. Kaplan	5
+	Basic Linear Partial Differential Equations	1975	François Trèves	5
+	An Inverse Sturm–Liouville Problem with Mixed Given Data	1978	Harry Hochstadt Burton Lieberman	5
+	1. Improperly Posed Problems in Partial Differential Equations	1975	L. E. Payne	5
+ PDF Chat	Asymptotic Behavior and Stability of Solutions of Semilinear Diffusion Equations	1979	Hiroshi Matano	5
+	Sturm-Liouville Operators and Applications	1986	V. А. Marchenko	5
+	The reconstruction of Sturm-Liouville operators	1992	William Rundell Paul Sacks	5
+	Partial differential equations: Methods and applications	2003		5
+	An Introduction to Evolution Governed by Accretive Operators	1976	Michael G. Crandall	5
+	Stability theorems for two inverse spectral problems	1988	Joyce R. McLaughlin	4
+	Inverse Sturm-Liouville problems and their applications	2001	Gerhard Freiling Vjacheslav Yurko	4
+	The Gelfand-Levitan, the Marchenko, and the Gopinath-Sondhi integral equations of inverse scattering theory, regarded in the context of inverse impulse-response problems	1980	Robert Burridge	4
+	The Number of Peaks of Positive Solutions of Semilinear Parabolic Equations	1985	Wei‐Ming Ni Paul Sacks	4
+	Continuity of solutions of a singular parabolic equation	1983	Paul Sacks	4
+ PDF Chat	Semi-linear second-order elliptic equations in L1	1973	Haı̈m Brezis Walter A. Strauss	4
+	Uniqueness of solutions of nonlinear Dirichlet problems	1983	Wei‐Ming Ni	4