ON A HOMOGENEOUS PARABOLIC PROBLEM IN AN INFINITE ANGULAR DOMAIN

2019 ◽  
Vol 7 (1) ◽  
pp. 38-52
Author(s):  
Jenaliyev M.T. ◽  
◽  
Ramazanov M.I. ◽  
Iskakov S.A. ◽  
Keyword(s):  
Parabolic Problem ◽  
Angular Domain

scholarly journals On a homogeneous parabolic problem in an infinite corner domain

Filomat ◽  
2018 ◽  
Vol 32 (3) ◽  
pp. 965-974
Author(s):  
Muvasharkhan Jenaliyev ◽  
Murat Ramazanov
Keyword(s):  
Nontrivial Solution ◽  
Trivial Solution ◽  
Parabolic Problem ◽  
Constant Factor ◽  
Angular Domain ◽  
Bounded Functions

In addition to the trivial solution in the class of essentially bounded functions with a given weight for the Solonnikov-Fasano homogeneous parabolic problem in an infinite angular domain we establish the existence of the nontrivial solution, up to a constant factor.

Convergence of Finite Fifference Method for Parabolic Problem

2003 ◽  
Vol 3 (1) ◽  
pp. 45-58 ◽  
Author(s):  
Dejan Bojović
Keyword(s):  
Convergence Rate ◽  
Boundary Value Problem ◽  
Heat Equation ◽  
Parabolic Problem ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Variable Coefficients ◽  
Rate Estimate ◽  
Convergence Rate Estimate ◽  
Initial Boundary Value

Abstract In this paper we consider the first initial boundary-value problem for the heat equation with variable coefficients in a domain (0; 1)x(0; 1)x(0; T]. We assume that the solution of the problem and the coefficients of the equation belong to the corresponding anisotropic Sobolev spaces. Convergence rate estimate which is consistent with the smoothness of the data is obtained.

scholarly journals Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations

2005 ◽  
Vol 2005 (4) ◽  
pp. 523-536
Author(s):  
Yubin Yan
Keyword(s):  
Difference Method ◽  
Parabolic Equations ◽  
Parabolic Problem ◽  
Approximation Scheme ◽  
Time Derivative ◽  
Nonsmooth Data ◽  
Smoothing Property ◽  
Linear Parabolic Equations ◽  
Linear Parabolic Problem ◽  
Data Error

A smoothing property in multistep backward difference method for a linear parabolic problem in Hilbert space has been proved, where the operator is selfadjoint, positive definite with compact inverse. By using the solutions computed by a multistep backward difference method for the parabolic problem, we introduce an approximation scheme for time derivative. The nonsmooth data error estimate for the approximation of time derivative has been obtained.

Deep illumination angular domain spectroscopic imaging: tissue-mimicking phantom study

2011 ◽  
Author(s):  
Yan Zhang ◽  
Fartash Vasefi ◽  
Eldon Ng ◽  
Astrid Chamson-Reig ◽  
Bozena Kaminska ◽  
...  
Keyword(s):  
Spectroscopic Imaging ◽  
Phantom Study ◽  
Angular Domain
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