REGULARITY THEORY FOR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS

2002 ◽  
Vol 23 (02) ◽  
pp. 165-180
Author(s):  
A. BENSOUSSAN ◽  
J. FREHSE
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Regularity Theory ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Partial Differential

STOCHASTIC CAHN–HILLIARD PARTIAL DIFFERENTIAL EQUATIONS WITH LÉVY SPACETIME WHITE NOISES

2006 ◽  
Vol 06 (02) ◽  
pp. 229-244 ◽  
Author(s):  
LIJUN BO ◽  
YONGJIN WANG
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Neumann Boundary ◽  
Local Solution ◽  
Neumann Boundary Conditions ◽  
Partial Differential ◽  
White Noises

In this paper, we consider a class of stochastic Cahn–Hilliard partial differential equations driven by Lévy spacetime white noises with Neumann boundary conditions. By a dedicate construction we prove that a (unique) local solution exists for the SPDE under some mild assumptions on the coefficients.

scholarly journals ExplicitL2inequalities for parabolic and pseudoparabolic equations with Neumann boundary conditions

1978 ◽  
Vol 1 (1) ◽  
pp. 21-29
Author(s):  
J. R. Kuttler ◽  
V. G. Sigillito
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
A Priori ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Diffusion Equations ◽  
Third Order ◽  
Partial Differential ◽  
Pseudoparabolic Equations

ExplicitL2inequalities are derived for second and third order diffusion equations with Neumann boundary conditions. Such inequalities are useful in approximating solutions to partial differential equations by the method of a priori inequalities.

Stability Criterion For Linear Oscillatory Parabolic Systems

1992 ◽  
Vol 114 (1) ◽  
pp. 175-178 ◽  
Author(s):  
Keum S. Hong ◽  
Joseph Bentsman
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Numerical Simulations ◽  
Stability Criterion ◽  
Neumann Boundary ◽  
Parabolic Systems ◽  
Neumann Boundary Conditions ◽  
Distributed Parameter ◽  
Parabolic Partial Differential Equations

This paper presents a stability criterion for a class of distributed parameter systems governed by linear oscillatory parabolic partial differential equations with Neumann boundary conditions. The results of numerical simulations that support the criterion are presented as well.

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