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Initial-oblique derivative boundary value problem for nonlinear parabolic equations of second order
Initial-oblique derivative problem, nonlinear parabolic complex equations multiply connected domains
2014/9/26
In this article, we discuss that an initial-oblique derivative boundary value
problem for nonlinear uniformly parabolic complex equation of second order
A0
u
z1z¡Re[Quzz+A1
u
z
]¡
^
...
Comments on: "Optical solitons in a parabolic law media with fourth order dispersion"[Appl. Math. Comput. 208(2009)209-302]
Optical solitons parabolic law media fourth order dispersion
2010/4/6
Biswas and Milovic[Appl. Math. Comput.208(2009)209-302] have found the optical one-soliton solutions of a fourth order dispersive cubic-quintic nonlinear Schr\"odinger equation. In this comment, we fi...
EXISTENCE OF RADIAL SOLUTIONS FOR A FOURTH ORDER PARABOLIC EQUATION
Fourth order parabolic equation Radial solution Existence
2008/11/26
We consider an initial-boundary problem for a fourth order nonlinear parabolic equation.
The problem as a model arises in epitaxial growth of nanoscale thin films. Relying
on some necessary uniform ...
Blow-up of Positive Solutions of Quasilinear Parabolic Equations with Mixed Boundary Conditions
Parabolic equation mixed boundary condition blow-up maximum principle
2008/11/25
This paper deals with the blow-up of positive solutions of a quasilinear parabolic equation
subject to mixed boundary conditions. The blow-up of the solutions in a finite time is proved
by the maxim...
In this paper we prove the solution of explicit difference scheme for a
semilinear parabolic equation converges to the solution of difference
scheme for the relevant nonlinear stationary problem as ...
LONG TIME ASYMPTOTIC BEHAVIOR OF SOLUTION OF DIFFERENCE SCHEMEFOR A SEMILINEAR PARABOLIC EQUATION
Asymptotic behavio implicit difference scheme semilinear parabolic equation
2007/12/12
In this paper we prove that the solution of implicit difference scheme
for a semilinear parabolic equation converges to the solution of
difference scheme for the corresponding nonlinear stationary...