RETRACTED: The Dirichlet-to-Neumann map for a nonlinear diffusion-convection equation (Retracted Article)

被引：2

作者：

Burini, D. ^{[1
]}

De Lillo, S.

机构：

[1] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 40期

关键词：

D O I：

10.1088/1751-8113/45/40/405201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A method for constructing the Dirichlet-to-Neumann map for a nonlinear diffusion-convection equation is presented. The problem is reduced to the solution of a nonlinear integral equation in one independent variable. Existence and uniqueness of the solution may be proven for small times via a contraction mapping technique.

引用

页数：10

共 50 条

[21] The Complete Dirichlet-to-Neumann Map for Differential Forms
Vladimir Sharafutdinov
Clayton Shonkwiler
Journal of Geometric Analysis, 2013, 23 : 2063 - 2080
[22] Stability of spectral partitions and the Dirichlet-to-Neumann map
G. Berkolaiko
Y. Canzani
G. Cox
J. L. Marzuola
Calculus of Variations and Partial Differential Equations, 2022, 61
[23] Stability of spectral partitions and the Dirichlet-to-Neumann map
Berkolaiko, G.
Canzani, Y.
Cox, G.
Marzuola, J. L.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2022, 61 (06)
[24] The Complete Dirichlet-to-Neumann Map for Differential Forms
Sharafutdinov, Vladimir
Shonkwiler, Clayton
JOURNAL OF GEOMETRIC ANALYSIS, 2013, 23 (04) : 2063 - 2080
[25] The boundary distance function and the Dirichlet-to-Neumann map
Pestov, L
Uhlmann, G
MATHEMATICAL RESEARCH LETTERS, 2004, 11 (2-3) : 285 - 297
[26] A family of analytical solutions of a nonlinear diffusion-convection equation
Hayek, Mohamed
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 490 : 1434 - 1445
[27] Stability for the inverse potential problem by the local Dirichlet-to-Neumann map for the Schrodinger equation
Fathallah, Ines Kamoun
APPLICABLE ANALYSIS, 2007, 86 (07) : 899 - 914
[28] On the solution of generalized inhomogeneous nonlinear diffusion-convection equation
Saied, EA
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 67 (04) : 1151 - 1156
[29] THE INVERSE PROBLEM FOR THE DIRICHLET-TO-NEUMANN MAP ON LORENTZIAN MANIFOLDS
Stefanov, Plamen
Yang, Yang
ANALYSIS & PDE, 2018, 11 (06): : 1381 - 1414
[30] Nodal deficiency, spectral flow, and the Dirichlet-to-Neumann map
Gregory Berkolaiko
Graham Cox
Jeremy L. Marzuola
Letters in Mathematical Physics, 2019, 109 : 1611 - 1623

← 1 2 3 4 5 →