Garving K. Luli

activity

20122021

most citedOn one-dimension semi-linear wave equations with null conditions

3 citations · 4 across the 5 of their papers we have counts for

collaborators

11 papers

math.CA2021

$C^{2}$ Interpolation with Range Restriction

Charles Fefferman, Fushuai Jiang, Garving K. Luli

Given $- \infty < λ < Λ < \infty$ , $E \subset R^{n}$ finite, and $f : E \to [λ, Λ]$ , how can we extend $f$ to a $C^{m} (R^{n})$ function $F$ such that $ λ\leq F \…

math.CA2021

Algorithms for Nonnegative $C^{2} (R^{2})$ Interpolation

Fushuai Jiang, Garving K. Luli

Let $E \subset R^{2}$ be a finite set, and let $f : E \to [0, \infty)$ . In this paper, we address the algorithmic aspects of nonnegative $C^{2}$ interpolation in the plane.…

math.CA2021

$C^{m}$ Semialgebraic Sections Over the Plane

Charles L. Fefferman, Garving K. Luli

In this paper we settle the two-dimensional case of a conjecture involving unknown semialgebraic functions with specified smoothness. More precisely, we prove the following result:…

math.FA2020★ 1 cited

On the Shape Fields Finiteness Principle

Fushuai Jiang, Garving K. Luli, Kevin O'Neill

In this paper, we improve the finiteness constant for the finiteness principles for $C^{m} (R^{n}, R^{d})$ and $C^{m - 1, 1} (R^{n}, R^{D})$ selection proven by…

math.CA2020

$C^{2} (R^{2})$ Nonnegative Extension by Bounded-depth Operators

Fushuai Jiang, Garving K. Luli

In this paper, we prove the existence of a nonnegative parameter-dependent (nonlinear) $C^{2} (R^{2})$ extension operator with bounded depth.

math.CA2019

Solutions to a System of Equations for $C^{m}$ Functions

Charles Fefferman, Garving K. Luli

Fix $m \geq 0$ , and let $A = (A_{ij} (x))_{1 \leq i \leq N, 1 \leq j \leq M}$ be a matrix of semialgebraic functions on $R^{n}$ or on a compact subset $E…

C2 Interpolation with Range Restriction

Algorithms for Nonnegative C2(R2) Interpolation

Cm Semialgebraic Sections Over the Plane

On the Shape Fields Finiteness Principle

C2(R2) Nonnegative Extension by Bounded-depth Operators

Solutions to a System of Equations for Cm Functions

$C^{2}$ Interpolation with Range Restriction

Algorithms for Nonnegative $C^{2} (R^{2})$ Interpolation

$C^{m}$ Semialgebraic Sections Over the Plane

$C^{2} (R^{2})$ Nonnegative Extension by Bounded-depth Operators

Solutions to a System of Equations for $C^{m}$ Functions