Garving K. Luli

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All published works

Action	Title	Year	Authors
+ PDF Chat	On C solutions to systems of linear inequalities	2023	Garving K. Luli Kevin O’Neill
+	On $C^m$ Solutions to Systems of Linear Inequalities	2023	Garving K. Luli Kevin O’Neill
+ PDF Chat	Smooth selection for infinite sets	2022	Fushuai Jiang Garving K. Luli Kevin M. O'neill
+	$C^2$ interpolation with range restriction	2022	Charles Fefferman Fushuai Jiang Garving K. Luli
+ PDF Chat	$C^{m}$ semialgebraic sections over the plane	2022	Charles Fefferman Garving K. Luli
+ PDF Chat	On the Shape Fields Finiteness Principle	2021	Fushuai Jiang Garving K. Luli Kevin M. O'neill
+ PDF Chat	Algorithms for nonnegative C2(R2) interpolation	2021	Fushuai Jiang Garving K. Luli
+	$C^m$ Semialgebraic Sections Over the Plane	2021	Charles Fefferman Garving K. Luli
+	$C^2$ Interpolation with Range Restriction	2021	Charles Fefferman Fushuai Jiang Garving K. Luli
+	$C^m$ Semialgebraic Sections Over the Plane	2021	Charles Fefferman Garving K. Luli
+	Smooth Selection for Infinite Sets	2021	Fushuai Jiang Garving K. Luli Kevin M. O'neill
+ PDF Chat	C2(R2) nonnegative extension by bounded-depth operators	2020	Fushuai Jiang Garving K. Luli
+ PDF Chat	Generators for the $C^m$-closures of ideals	2020	Charles Fefferman Garving K. Luli
+ PDF Chat	Solutions to a system of equations for $C^m$ functions	2020	Charles Fefferman Garving K. Luli
+	$ {C}^2(\mathbb{R}^2) $ Nonnegative Extension by Bounded-depth Operators	2020	Fushuai Jiang Garving K. Luli
+	On the Shape Fields Finiteness Principle	2020	Fushuai Jiang Garving K. Luli Kevin M. O'neill
+	Generators for the $C^m$-closures of Ideals	2019	Charles Fefferman Garving K. Luli
+	Solutions to A System of Equations for $C^m$ Functions	2019	Charles Fefferman Garving K. Luli
+	Nonnegative $C^2(\mathbb{R}^2)$ interpolation	2019	Fushuai Jiang Garving K. Luli
+	Solutions to a System of Equations for $C^m$ Functions	2019	Charles Fefferman Garving K. Luli
+	Generators for the $C^m$-closures of Ideals	2019	Charles Fefferman Garving K. Luli
+	On one-dimension semi-linear wave equations with null conditions	2018	Garving K. Luli Shiwu Yang Pin Yu
+ PDF Chat	Interpolation of data by smooth nonnegative functions	2017	Charles Fefferman Arie Israel Garving K. Luli
+	On one-dimension semi-linear wave equations with null conditions	2017	Garving K. Luli Shiwu Yang Pin Yu
+ PDF Chat	Fitting a Sobolev function to data III	2016	Charles Fefferman Arie Israel Garving K. Luli
+	Fitting a Sobolev function to data II	2016	Charles Fefferman Arie Israel Garving K. Luli
+ PDF Chat	Finiteness Principles for Smooth Selection	2016	Charles Fefferman Arie Israel Garving K. Luli
+ PDF Chat	On the generalized Buckley-Leverett equation	2016	Jan Burczak Rafael Granero-Belinchón Garving K. Luli
+	Interpolation of data by smooth non-negative functions	2016	Charles Fefferman Arie Israel Garving K. Luli
+	Finitness Principles for Smooth Selection	2016	Charles Fefferman Arie Israel Garving K. Luli
+	Interpolation of data by smooth non-negative functions	2016	Charles Fefferman Arie Israel Garving K. Luli
+	Finiteness Principles for Smooth Selection	2015	Charles Fefferman Arie Israel Garving K. Luli
+	Fitting a Sobolev function to data	2014	Charles Fefferman Arie Israel Garving K. Luli
+ PDF Chat	The Brenner–Hochster–Kollár and Whitney problems for vector-valued functions and jets	2014	Charles Fefferman Garving K. Luli
+ PDF Chat	The structure of Sobolev extension operators	2014	Charles Fefferman Arie Israel Garving K. Luli
+	Fitting a Sobolev function to data	2014	Charles Fefferman Arie Israel Garving K. Luli
+ PDF Chat	Sobolev extension by linear operators	2013	Charles Fefferman Arie Israel Garving K. Luli
+	The Brenner-Hochster-Koll\'ar and Whitney Problems for Vector-valued Functions and Jets	2012	Charles Fefferman Garving K. Luli
+	The Structure of Sobolev Extension Operators	2012	Charles Fefferman Arie Israel Garving K. Luli
+	Sobolev Extension By Linear Operators	2012	Charles Fefferman Arie Israel Garving K. Luli
+	The spine of an SQG almost-sharp front	2012	Charles Fefferman Garving K. Luli José L. Rodrigo
+	Sobolev Extension By Linear Operators	2012	Charles Fefferman Arie Israel Garving K. Luli
+	The Structure of Sobolev Extension Operators	2012	Charles Fefferman Arie Israel Garving K. Luli
+	The Brenner-Hochster-Kollár and Whitney Problems for Vector-valued Functions and Jets	2012	Charles Fefferman Garving K. Luli
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mi>C</mml:mi><mml:mrow><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mi>ω</mml:mi></mml:mrow></mml:msup></mml:math> extension by bounded-depth linear operators	2010	Garving K. Luli
+	On the Capillary Problem for Compressible Fluids	2006	Robert Finn Garving K. Luli

Common Coauthors

Coauthor	Papers Together
Charles Fefferman	22
Arie Israel	16
Fushuai Jiang	10
Charles Fefferman	9
Kevin M. O'neill	3
Kevin O’Neill	2
Pin Yu	2
Shiwu Yang	2
Kevin M. O'neill	1
Jan Burczak	1
Robert Finn	1
Rafael Granero-Belinchón	1
José L. Rodrigo	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	A sharp form of Whitney’s extension theorem	2005	Charles Fefferman	18
+	The Whitney problem of existence of a linear extension operator	1997	Yuri Brudnyi Pavel Shvartsman	16
+ PDF Chat	Interpolation and extrapolation of smooth functions by linear operators	2005	Charles Fefferman	15
+ PDF Chat	Whitney’s extension problem for C<sup>m</sup>	2006	Charles Fefferman	15
+ PDF Chat	A Generalized Sharp Whitney Theorem for Jets	2005	Charles Fefferman	13
+ PDF Chat	C<sup>m</sup>extension by linear operators	2007	Charles Fefferman	13
+	Functions Differentiable on the Boundaries of Regions	1992	Hassler Whitney	12
+	None	1994	Yuri Brudnyi Pavel Shvartsman	12
+ PDF Chat	The Whitney extension problem and Lipschitz selections of set-valued mappings in jet-spaces	2008	Pavel Shvartsman	11
+ PDF Chat	The Structure of Linear Extension Operators for $C^m$	2007	Charles Fefferman	11
+	Differentiable Functions Defined in Closed Sets. I	1992	Hassler Whitney	11
+	Analytic Extensions of Differentiable Functions Defined in Closed Sets	1992	Hassler Whitney	11
+ PDF Chat	Finiteness Principles for Smooth Selection	2016	Charles Fefferman Arie Israel Garving K. Luli	11
+ PDF Chat	The Brenner–Hochster–Kollár and Whitney problems for vector-valued functions and jets	2014	Charles Fefferman Garving K. Luli	11
+ PDF Chat	Differentiable functions defined in closed sets. A problem of Whitney	2003	Edward Bierstone Pierre D. Milman Wiesław Pawłucki	10
+	Étude de Quelques Algèbres Tayloriennes	1958	Georges Glaeser	10
+	Lipschitz selections of set-valued mappings and Helly’s theorem	2002	Pavel Shvartsman	10
+	Barycentric selectors and a Steiner-type point of a convex body in a Banach space	2003	Pavel Shvartsman	8
+	Continuous closure, axes closure, and natural closure	2016	Neil Epstein Melvin Hochster	8
+	Cm-norms on finite sets and Cm extension criteria	2007	Edward Bierstone Pierre D. Milman	8
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mi>C</mml:mi><mml:mrow><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mi>ω</mml:mi></mml:mrow></mml:msup></mml:math> extension by bounded-depth linear operators	2010	Garving K. Luli	7
+	On Lipschitz selections of affine-set valued mappings	2001	Pavel Shvartsman	7
+ PDF Chat	Whitney’s extension problems and interpolation of data	2008	Charles Fefferman	7
+ PDF Chat	Interpolation of data by smooth nonnegative functions	2017	Charles Fefferman Arie Israel Garving K. Luli	7
+	Functions Differentiable on the Boundaries of Regions	1934	Hassler Whitney	6
+ PDF Chat	Sobolev extension by linear operators	2013	Charles Fefferman Arie Israel Garving K. Luli	6
+ PDF Chat	Higher-order tangents and Fefferman’s paper on Whitney’s extension problem	2006	Edward Bierstone Pierre D. Milman Wiesław Pawłucki	6
+ PDF Chat	Differentiable functions on Banach spaces with Lipschitz derivatives	1973	John C. Wells	6
+	Whitney's Problem on Extendability of Functions and an Intrinsic Metric	1998	Nahum Zobin	6
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	5
+ PDF Chat	Continuous closure of sheaves	2012	Janós Kollár	5
+ PDF Chat	Solutions to a system of equations for $C^m$ functions	2020	Charles Fefferman Garving K. Luli	5
+ PDF Chat	Sharp Finiteness Principles For Lipschitz Selections	2018	Charles Fefferman Pavel Shvartsman	5
+	Whitney’s extension problem for multivariate 𝐶^{1,𝜔}-functions	2001	Yuri Brudnyi Pavel Shvartsman	4
+	Continuous solutions to algebraic forcing equations	2006	Holger Brenner	4
+	Extension of smooth functions from finitely connected planar domains	1999	Nahum Zobin	4
+ PDF Chat	Generators for the $C^m$-closures of ideals	2020	Charles Fefferman Garving K. Luli	4
+ PDF Chat	Extension of $C^{m, \omega}$-Smooth Functions by Linear Operators	2009	Charles Fefferman	4
+	Minimal Lipschitz Extensions to Differentiable Functions Defined on a Hilbert Space	2009	Erwan Le Gruyer	4
+ PDF Chat	$C^{m}$ semialgebraic sections over the plane	2022	Charles Fefferman Garving K. Luli	3
+ PDF Chat	A bounded linear extension operator for L^(2,p)(R^2)	2013	Arie Israel	3
+	Continuous rational functions on real and $$p$$ p -adic varieties	2014	Janós Kollár Krzysztof Jan Nowak	3
+	Fitting a Sobolev function to data II	2016	Charles Fefferman Arie Israel Garving K. Luli	3
+ PDF Chat	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="script">C</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup></mml:math> solutions of semialgebraic or definable equations	2021	Edward Bierstone Jean-Baptiste Campesato Pierre D. Milman	3
+	From Fourier Analysis and Number Theory to Radon Transforms and Geometry	2012	Hershel M. Farkas Robert C. Gunning Marvin I. Knopp B. A. Taylor	2
+	Continuous linear combinations of polynomials	2011	Charles Fefferman Janós Kollár	2
+ PDF Chat	New proofs of the trace theorem of Sobolev spaces	2008	Yôichi Miyazaki	2
+	The analysis of linear partial differential operators	1990	Lars Hörmander	2
+	Basic Algebraic Geometry 2	1994	Igor R. Shafarevich	2
+	Global solutions of nonlinear hyperbolic equations for small initial data	1986	Demetrios Christodoulou	2