On One Nonlocal Inverse Boundary Problem for the Second-Order Parabolic Equation

Ya.T. Mehraliev;  ; A.N. Safarova;

doi:10.14529/mmph170202

On One Nonlocal Inverse Boundary Problem for the Second-Order Parabolic Equation

Bulletin of the South Ural State University series Mathematics Mechanics Physics ◽

10.14529/mmph170202 ◽

2017 ◽

Vol 9 (2) ◽

pp. 13-21

Author(s):

Ya.T. Mehraliev ◽

◽

A.N. Safarova ◽

Keyword(s):

Parabolic Equation ◽

Boundary Problem ◽

Second Order ◽

Inverse Boundary ◽

Order Parabolic Equation ◽

Inverse Boundary Problem

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Estimates of Green's function of homogeneous first-boundary problem for a second-order parabolic equation in a noncylindrical region

Ukrainian Mathematical Journal ◽

10.1007/bf01086677 ◽

1969 ◽

Vol 21 (1) ◽

pp. 11-20 ◽

Cited By ~ 4

Author(s):

S. D. Ivasishen

Keyword(s):

Parabolic Equation ◽

Green’S Function ◽

Boundary Problem ◽

Green's Function ◽

Second Order ◽

Order Parabolic Equation

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Numerical Method for Solving an Inverse Boundary Problem with Unknown Initial Conditions for Parabolic PDE Using Discrete Regularization

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-319-57099-0_87 ◽

2017 ◽

pp. 752-759 ◽

Cited By ~ 3

Author(s):

Natalia M. Yaparova

Keyword(s):

Numerical Method ◽

Boundary Problem ◽

Initial Conditions ◽

Inverse Boundary ◽

Parabolic Pde ◽

Inverse Boundary Problem

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THE STABILITY OF THE DIFFERENCE SCHEMA APPROXIMATING CAUCHY’S PROBLEM FOR THE SECOND ORDER PARABOLIC EQUATION WITH VARIABLE COEFFICIENTS IN L2

Demonstratio Mathematica ◽

10.1515/dema-1990-0103 ◽

1990 ◽

Vol 23 (1) ◽

Author(s):

Vu Van Hung

Keyword(s):

Parabolic Equation ◽

Variable Coefficients ◽

Second Order ◽

Order Parabolic Equation ◽

The Difference ◽

The Stability

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ON UNIFORM STABILIZATION OF THE SOLUTION OF THE SECOND MIXED PROBLEM FOR A SECOND ORDER PARABOLIC EQUATION

Mathematics of the USSR-Sbornik ◽

10.1070/sm1987v056n01abeh003029 ◽

1987 ◽

Vol 56 (1) ◽

pp. 141-162 ◽

Cited By ~ 2

Author(s):

A K Gushchin ◽

V P Mikhaĭlov ◽

Yu A Mikhaĭlov

Keyword(s):

Parabolic Equation ◽

Mixed Problem ◽

Second Order ◽

Uniform Stabilization ◽

Order Parabolic Equation

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Efficient techniques for the second-order parabolic equation subject to nonlocal specifications

Applied Numerical Mathematics ◽

10.1016/j.apnum.2004.02.002 ◽

2005 ◽

Vol 52 (1) ◽

pp. 39-62 ◽

Cited By ~ 104

Author(s):

Mehdi Dehghan

Keyword(s):

Parabolic Equation ◽

Second Order ◽

Order Parabolic Equation

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Fundamental solution of a loaded second-order parabolic equation with constant coefficients

Differential Equations ◽

10.1134/s0012266115050055 ◽

2015 ◽

Vol 51 (5) ◽

pp. 620-629 ◽

Cited By ~ 3

Author(s):

M. O. Mamchuev

Keyword(s):

Parabolic Equation ◽

Fundamental Solution ◽

Second Order ◽

Order Parabolic Equation ◽

Constant Coefficients

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Use of radial basis functions for solving the second-order parabolic equation with nonlocal boundary conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20297 ◽

2008 ◽

Vol 24 (3) ◽

pp. 924-938 ◽

Cited By ~ 34

Author(s):

Mehdi Dehghan ◽

Mehdi Tatari

Keyword(s):

Parabolic Equation ◽

Boundary Conditions ◽

Radial Basis Functions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Second Order ◽

Basis Functions ◽

Order Parabolic Equation ◽

Radial Basis

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An Inverse Problem of Identifying the Coefficient of Second Order Parabolic Equation with Integral Source Term

Advances in Applied Mathematics ◽

10.12677/aam.2020.93047 ◽

2020 ◽

Vol 09 (03) ◽

pp. 391-399

Author(s):

玉娟郑

Keyword(s):

Inverse Problem ◽

Parabolic Equation ◽

Source Term ◽

Second Order ◽

Order Parabolic Equation

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A product decomposition of the fundamental solution of a second order parabolic equation

Journal of Differential Equations ◽

10.1016/0022-0396(71)90017-9 ◽

1971 ◽

Vol 9 (3) ◽

pp. 443-452

Author(s):

M.Ann Piech

Keyword(s):

Parabolic Equation ◽

Fundamental Solution ◽

Second Order ◽

Product Decomposition ◽

Order Parabolic Equation

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Asymptotic behaviour of the fundamental solution of a second-order parabolic equation

Sbornik Mathematics ◽

10.1070/sm1995v186n04abeh000032 ◽

1995 ◽

Vol 186 (4) ◽

pp. 591-609

Author(s):

E F Lelikova

Keyword(s):

Parabolic Equation ◽

Fundamental Solution ◽

Asymptotic Behaviour ◽

Second Order ◽

Order Parabolic Equation

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