scholarly journals The Properties of the Solutions for Cauchy Problem of Nonlinear Parabolic Equations in Non-Divergent Form with Density

2015 ◽  
Vol 8 (2) ◽  
pp. 192-200 ◽  
Author(s):  
Jakhongir R. Raimbekov ◽  
Keyword(s):  
Cauchy Problem ◽  
Parabolic Equations ◽  
Nonlinear Parabolic Equations ◽  
Divergent Form ◽  
Nonlinear Parabolic

Quasilinearization Methods for Nonlinear Parabolic Equations with Functional Dependence

2002 ◽  
Vol 9 (3) ◽  
pp. 431-448
Author(s):  
A. Bychowska
Keyword(s):  
Cauchy Problem ◽  
Parabolic Equations ◽  
Unknown Function ◽  
Functional Dependence ◽  
Nonlinear Parabolic Equations ◽  
Quasilinearization Method ◽  
Convergence Theorems ◽  
Nonlinear Parabolic ◽  
Quasilinearization Methods ◽  
Derivatives Of

Abstract We consider a Cauchy problem for nonlinear parabolic equations with functional dependence. We prove convergence theorems for a general quasilinearization method in two cases: (i) the Hale functional acting only on the unknown function, (ii) including partial derivatives of the unknown function.

scholarly journals On Weak Solution of Cauchy Problem for Nonlinear Parabolic Equations

2019 ◽  
Vol 1341 ◽  
pp. 062038
Author(s):  
Naimah Aris ◽  
Muh. Rifki Nisardi ◽  
Kasbawati ◽  
Jeffry Kusuma ◽  
Budi Nurwahyu ◽  
...  
Keyword(s):  
Cauchy Problem ◽  
Weak Solution ◽  
Parabolic Equations ◽  
Nonlinear Parabolic Equations ◽  
Nonlinear Parabolic
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