Uniform approximation of functions by solutions of strongly elliptic equations of second order on compact sets in [IMG align=ABSMIDDLE alt=$ R^2$]tex_im_3055_img1[/IMG]

Maksim Yakovlevich Mazalov

doi:10.1070/im9027

Uniform approximation of functions by solutions of strongly elliptic equations of second order on compact sets in [IMG align=ABSMIDDLE alt=$ R^2$]tex_im_3055_img1[/IMG]

Izvestiya Mathematics ◽

10.1070/im9027 ◽

2021 ◽

Vol 85 (3) ◽

Author(s):

Maksim Yakovlevich Mazalov

Keyword(s):

Uniform Approximation ◽

Elliptic Equations ◽

Second Order ◽

Compact Sets ◽

Approximation Of Functions

Download Full-text

Uniform approximations of functions by solutions of strongly elliptic equations of second order on compact sets in [IMG align=ABSMIDDLE alt=$ \mathbb R^2$]tex_sm_4981_img1[/IMG]

Sbornik Mathematics ◽

10.1070/sm9503 ◽

2021 ◽

Vol 212 (12) ◽

Author(s):

Petr Vladimirovich Paramonov

Keyword(s):

Elliptic Equations ◽

Second Order ◽

Compact Sets ◽

Uniform Approximations

Download Full-text

Uniform approximation by polynomial solutions of second-order elliptic equations, and the corresponding Dirichlet problem

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543806020064 ◽

2006 ◽

Vol 253 (1) ◽

pp. 57-70 ◽

Cited By ~ 1

Author(s):

A. B. Zaitsev

Keyword(s):

Dirichlet Problem ◽

Uniform Approximation ◽

Elliptic Equations ◽

Second Order ◽

Polynomial Solutions ◽

Second Order Elliptic Equations

Download Full-text

C 1 approximation of functions by solutions of second-order elliptic systems on compact sets in ℝ2

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543817060037 ◽

2017 ◽

Vol 298 (1) ◽

pp. 35-50 ◽

Cited By ~ 4

Author(s):

A. O. Bagapsh ◽

K. Yu. Fedorovskiy

Keyword(s):

Elliptic Systems ◽

Second Order ◽

Compact Sets ◽

Approximation Of Functions

Download Full-text

Criteria for [IMG align=ABSMIDDLE alt=$ C^1$]tex_im_3058_img1[/IMG]-approximability of functions by solutions of homogeneous elliptic equations of second order on compact sets in [IMG align=ABSMIDDLE alt=$ R^N$]tex_im_3058_img2[/IMG], [IMG align=ABSMIDDLE alt=$ N geq 3$]tex_im_3058_img3[/IMG]

Izvestiya Mathematics ◽

10.1070/im9036 ◽

2021 ◽

Vol 85 (3) ◽

Author(s):

Petr Vladimirovich Paramonov

Keyword(s):

Elliptic Equations ◽

Second Order ◽

Compact Sets

Download Full-text

Cm Approximation of Functions by Solutions of Second-Order Elliptic Systems on Compact Sets in the Plane

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543818040016 ◽

2018 ◽

Vol 301 (1) ◽

pp. 1-10

Author(s):

A. O. Bagapsh ◽

K. Yu. Fedorovskiy

Keyword(s):

Elliptic Systems ◽

Second Order ◽

Compact Sets ◽

Approximation Of Functions

Download Full-text

On $$C^1$$ C 1 -approximability of functions by solutions of second order elliptic equations on plane compact sets and C-analytic capacity

Analysis and Mathematical Physics ◽

10.1007/s13324-018-0275-z ◽

2018 ◽

Vol 9 (3) ◽

pp. 1133-1161

Author(s):

P. V. Paramonov ◽

X. Tolsa

Keyword(s):

Elliptic Equations ◽

Second Order ◽

Analytic Capacity ◽

Compact Sets ◽

Second Order Elliptic Equations

Download Full-text

Properties of a solution of the Dirichlet problem for second-order elliptic equations in a class of domains with nonsmooth boundary. I

Lithuanian Mathematical Journal ◽

10.1007/bf00966149 ◽

1987 ◽

Vol 26 (2) ◽

pp. 153-163

Author(s):

K. Pileckas ◽

K. Samaitis

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Second Order ◽

Nonsmooth Boundary ◽

Second Order Elliptic Equations

Download Full-text

Regularity of the generalized solutions of the first boundary-value problem for quasilinear degenerate second-order elliptic equations

Journal of Soviet Mathematics ◽

10.1007/bf01788913 ◽

1984 ◽

Vol 25 (1) ◽

pp. 815-832 ◽

Cited By ~ 1

Author(s):

A. V. Ivanov

Keyword(s):

Boundary Value Problem ◽

Elliptic Equations ◽

Boundary Value ◽

Second Order ◽

Generalized Solutions ◽

Second Order Elliptic Equations

Download Full-text

On non-local reflection for elliptic equations of the second order in $\mathbb{R}^{2}$ (the Dirichlet condition)

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-2012-05462-6 ◽

2012 ◽

Vol 364 (5) ◽

pp. 2443-2460 ◽

Cited By ~ 9

Author(s):

Tatiana Savina

Keyword(s):

Elliptic Equations ◽

Dirichlet Condition ◽

Second Order ◽

Non Local

Download Full-text

On Regularity and Existence of Viscosity Solutions of Nonlinear Second Order, Elliptic Equations

Partial Differential Equations and the Calculus of Variations ◽

10.1007/978-1-4684-9196-8_41 ◽

1989 ◽

pp. 939-957 ◽

Cited By ~ 6

Author(s):

Neil S. Trudinger

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Second Order ◽

Regularity And Existence ◽

Second Order Elliptic Equations

Download Full-text