Normalized solutions to a Schrödinger–Bopp–Podolsky system under Neumann boundary conditions

Differential Equations ◽

Boundary Conditions ◽

Compatibility Condition ◽

Boundary Data ◽

Existence Of Solutions ◽

Neumann Boundary ◽

Coupling Factor ◽

Normalized Solutions

In this paper, we study a Schrödinger–Bopp–Podolsky (SBP) system of partial differential equations in a bounded and smooth domain of [Formula: see text] with a nonconstant coupling factor. Under a compatibility condition on the boundary data we deduce existence of solutions by means of the Ljusternik–Schnirelmann theory.

Numerical solution of partial differential equations with stochastic Neumann boundary conditions

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2019061 ◽

2017 ◽

Vol 22 (11) ◽

pp. 1-18

Author(s):

Minoo Kamrani ◽

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Numerical Solution ◽

Neumann Boundary ◽

Partial Differential

A Taylor expansion approach for solving partial differential equations with random Neumann boundary conditions

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.03.137 ◽

2011 ◽

Vol 217 (23) ◽

pp. 9532-9542 ◽

Cited By ~ 1

Author(s):

Shengqiang Xu ◽

Jinqiao Duan

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Taylor Expansion ◽

Neumann Boundary ◽

Partial Differential

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

Stochastics and Dynamics ◽

10.1142/s0219493706001736 ◽

2006 ◽

Vol 06 (02) ◽

pp. 229-244 ◽

Cited By ~ 23

Author(s):

LIJUN BO ◽

YONGJIN WANG

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Neumann Boundary ◽

Local Solution ◽

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.

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

Chinese Annals of Mathematics Series B ◽

10.1142/s025295990200016x ◽

2002 ◽

Vol 23 (02) ◽

pp. 165-180

Author(s):

A. BENSOUSSAN ◽

J. FREHSE

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Regularity Theory ◽

Neumann Boundary ◽

Partial Differential

Stability Criterion For Linear Oscillatory Parabolic Systems

Journal of Dynamic Systems Measurement and Control ◽

10.1115/1.2896501 ◽

1992 ◽

Vol 114 (1) ◽

pp. 175-178 ◽

Cited By ~ 10

Author(s):

Keum S. Hong ◽

Joseph Bentsman

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Numerical Simulations ◽

Stability Criterion ◽

Neumann Boundary ◽

Parabolic Systems ◽

Parabolic Partial Differential Equations

Distributed Parameter ◽

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.