Determination of a Time-Dependent Term in the Right-Hand Side of Linear Parabolic Equations

2015 ◽  
Vol 41 (2) ◽  
pp. 313-335 ◽  
Author(s):  
Nguyen Thi Ngoc Oanh ◽  
Bui Viet Huong
Keyword(s):  
Parabolic Equations ◽  
Time Dependent ◽  
Dependent Term ◽  
Right Hand ◽  
Linear Parabolic Equations ◽  
The Right

scholarly journals Determination of a term in the right-hand side of parabolic equations

2017 ◽  
Vol 309 ◽  
pp. 28-43 ◽  
Author(s):  
Dinh Nho Hào ◽  
Bui Viet Huong ◽  
Nguyen Thi Ngoc Oanh ◽  
Phan Xuan Thanh
Keyword(s):  
Parabolic Equations ◽  
Right Hand ◽  
The Right

scholarly journals Potential Estimates for Quasi-Linear Parabolic Equations

2011 ◽  
Vol 11 (4) ◽  
Author(s):  
Vitali Liskevich ◽  
Igor I. Skrypnik ◽  
Zeev Sobol
Keyword(s):  
Parabolic Equations ◽  
Radon Measure ◽  
Degenerate Parabolic Equations ◽  
Pointwise Estimates ◽  
Right Hand ◽  
Linear Parabolic Equations ◽  
Degenerate Parabolic ◽  
Divergence Type ◽  
The Right ◽  
Linear Degenerate

AbstractFor a class of divergence type quasi-linear degenerate parabolic equations with a Radon measure on the right hand side we derive pointwise estimates for solutions via nonlinear Wolff potentials.

On the determination of the right-hand side in a parabolic equation

2012 ◽  
Vol 62 (11) ◽  
pp. 1672-1683 ◽  
Author(s):  
A. Ashyralyev ◽  
A.S. Erdogan ◽  
O. Demirdag
Keyword(s):  
Parabolic Equation ◽  
Right Hand ◽  
The Right

Approximations by multivariate perturbed neural network operators

2017 ◽  
Vol 15 (03) ◽  
pp. 413-432 ◽  
Author(s):  
George A. Anastassiou
Keyword(s):  
Neural Network ◽  
Rate Of Convergence ◽  
Activation Function ◽  
Jackson Type ◽  
Partial Derivatives ◽  
Right Hand ◽  
Hidden Layer ◽  
The Right ◽  
Derivatives Of

This article deals with the determination of the rate of convergence to the unit of each of three newly introduced here multivariate perturbed normalized neural network operators of one hidden layer. These are given through the multivariate modulus of continuity of the involved multivariate function or its high-order partial derivatives and that appears in the right-hand side of the associated multivariate Jackson type inequalities. The multivariate activation function is very general, especially it can derive from any multivariate sigmoid or multivariate bell-shaped function. The right-hand sides of our convergence inequalities do not depend on the activation function. The sample functionals are of multivariate Stancu, Kantorovich and quadrature types. We give applications for the first partial derivatives of the involved function.

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