Determination of the Right-Hand Side in a Quasilinear Parabolic Equation with a Terminal Observation

2005 ◽  
Vol 41 (3) ◽  
pp. 384-392 ◽  
Author(s):  
N. L. Gol’dman
Keyword(s):  
Parabolic Equation ◽  
Quasilinear Parabolic Equation ◽  
Right Hand ◽  
The Right ◽  
Quasilinear Parabolic

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

scholarly journals Determination of a diffusion coefficient in a quasilinear parabolic equation

2017 ◽  
Vol 15 (1) ◽  
pp. 77-91 ◽  
Author(s):  
Fatma Kanca
Keyword(s):  
Diffusion Coefficient ◽  
Parabolic Equation ◽  
Numerical Experiments ◽  
Input Data ◽  
Quasilinear Parabolic Equation ◽  
Nonlocal Boundary ◽  
Time Dependent ◽  
Integral Overdetermination ◽  
Quasilinear Parabolic

Abstract This paper investigates the inverse problem of finding the time-dependent diffusion coefficient in a quasilinear parabolic equation with the nonlocal boundary and integral overdetermination conditions. Under some natural regularity and consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data of the solution are shown. Finally, some numerical experiments are presented.

scholarly journals Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Zhong Bo Fang ◽  
Yan Chai
Keyword(s):  
Boundary Condition ◽  
Parabolic Equation ◽  
Neumann Boundary Condition ◽  
Blow Up ◽  
Quasilinear Parabolic Equation ◽  
Neumann Boundary ◽  
Initial Boundary ◽  
Blow Up Analysis ◽  
Inner Absorption ◽  
Quasilinear Parabolic

We investigate an initial-boundary value problem for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition. We establish, respectively, the conditions on nonlinearity to guarantee thatu(x,t)exists globally or blows up at some finite timet*. Moreover, an upper bound fort*is derived. Under somewhat more restrictive conditions, a lower bound fort*is also obtained.

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