Journal of Partial Differential Equations JPDE Volume 28, Number 3

Journal Home
Volume 38 - 2025
- Vol. 38, Issue 1 pp.1-122
Volume 37 - 2024
- Vol. 37, Issue 4 pp.355-490
- Vol. 37, Issue 3 pp.235-354
- Vol. 37, Issue 2 pp.121-234
- Vol. 37, Issue 1 pp.1-120
Volume 36 - 2023
- Vol. 36, Issue 4 pp.331-453
- Vol. 36, Issue 3 pp.235-330
- Vol. 36, Issue 2 pp.119-234
- Vol. 36, Issue 1 pp.1-118
Volume 35 - 2022
- Vol. 35, Issue 4 pp.307-408
- Vol. 35, Issue 3 pp.199-306
- Vol. 35, Issue 2 pp.101-198
- Vol. 35, Issue 1 pp.1-100
Volume 34 - 2021
- Vol. 34, Issue 4 pp.297-392
- Vol. 34, Issue 3 pp.201-296
- Vol. 34, Issue 2 pp.103-200
- Vol. 34, Issue 1 pp.1-102
Volume 33 - 2020
- Vol. 33, Issue 4 pp.291-394
- Vol. 33, Issue 3 pp.193-290
- Vol. 33, Issue 2 pp.93-192
- Vol. 33, Issue 1 pp.1-92
Volume 32 - 2019
- Vol. 32, Issue 4 pp.293-380
- Vol. 32, Issue 3 pp.191-292
- Vol. 32, Issue 2 pp.93-190
- Vol. 32, Issue 1 pp.1-92
Volume 31 - 2018
- Vol. 31, Issue 4 pp.291-384
- Vol. 31, Issue 3 pp.193-290
- Vol. 31, Issue 2 pp.97-192
- Vol. 31, Issue 1 pp.1-96
Volume 30 - 2017
- Vol. 30, Issue 4 pp.281-380
- Vol. 30, Issue 3 pp.189-280
- Vol. 30, Issue 2 pp.95-188
- Vol. 30, Issue 1 pp.1-94
Volume 29 - 2016
- Vol. 29, Issue 4 pp.255-359
- Vol. 29, Issue 3 pp.161-254
- Vol. 29, Issue 2 pp.89-160
- Vol. 29, Issue 1 pp.1-88
Volume 28 - 2015
- Vol. 28, Issue 4 pp.291-382
- Vol. 28, Issue 3 pp.197-290
- Vol. 28, Issue 2 pp.95-196
- Vol. 28, Issue 1 pp.1-94
Volume 27 - 2014
- Vol. 27, Issue 4 pp.283-372
- Vol. 27, Issue 3 pp.189-282
- Vol. 27, Issue 2 pp.95-188
- Vol. 27, Issue 1 pp.1-94
Volume 26 - 2013
- Vol. 26, Issue 4 pp.289-385
- Vol. 26, Issue 3 pp.193-288
- Vol. 26, Issue 2 pp.99-192
- Vol. 26, Issue 1 pp.1-98
Volume 25 - 2012
- Vol. 25, Issue 4 pp.295-387
- Vol. 25, Issue 3 pp.199-294
- Vol. 25, Issue 2 pp.103-198
- Vol. 25, Issue 1 pp.1-102
Volume 24 - 2011
- Vol. 24, Issue 4 pp.289-385
- Vol. 24, Issue 3 pp.195-288
- Vol. 24, Issue 2 pp.97-194
- Vol. 24, Issue 1 pp.1-96
Volume 23 - 2010
- Vol. 23, Issue 4 pp.305-401
- Vol. 23, Issue 3 pp.209-304
- Vol. 23, Issue 2 pp.105-208
- Vol. 23, Issue 1 pp.1-104
Volume 22 - 2009
- Vol. 22, Issue 4 pp.299-393
- Vol. 22, Issue 3 pp.199-298
- Vol. 22, Issue 2 pp.97-198
- Vol. 22, Issue 1 pp.1-96
Volume 21 - 2008
- Vol. 21, Issue 4 pp.289-383
- Vol. 21, Issue 3 pp.193-288
- Vol. 21, Issue 2 pp.97-192
- Vol. 21, Issue 1 pp.1-96
Volume 20 - 2007
- Vol. 20, Issue 4 pp.289-384
- Vol. 20, Issue 3 pp.193-288
- Vol. 20, Issue 2 pp.97-192
- Vol. 20, Issue 1 pp.1-96
Volume 19 - 2006
- Vol. 19, Issue 4 pp.289-383
- Vol. 19, Issue 3 pp.193-288
- Vol. 19, Issue 2 pp.97-192
- Vol. 19, Issue 1 pp.1-96
Volume 18 - 2005
- Vol. 18, Issue 4 pp.289-383
- Vol. 18, Issue 3 pp.193-288
- Vol. 18, Issue 2 pp.97-192
- Vol. 18, Issue 1 pp.1-96
Volume 17 - 2004
- Vol. 17, Issue 4 pp.289-383
- Vol. 17, Issue 3 pp.193-288
- Vol. 17, Issue 2 pp.97-192
- Vol. 17, Issue 1 pp.1-96
Volume 16 - 2003
- Vol. 16, Issue 4 pp.289-383
- Vol. 16, Issue 3 pp.193-288
- Vol. 16, Issue 2 pp.97-192
- Vol. 16, Issue 1 pp.1-96
Volume 15 - 2002
- Vol. 15, Issue 4 pp.1-95
- Vol. 15, Issue 3 pp.1-80
- Vol. 15, Issue 2 pp.1-96
- Vol. 15, Issue 1 pp.1-96
Volume 14 - 2001
- Vol. 14, Issue 4 pp.289-383
- Vol. 14, Issue 3 pp.193-288
- Vol. 14, Issue 2 pp.97-192
- Vol. 14, Issue 1 pp.1-96
Volume 13 - 2000
- Vol. 13, Issue 4 pp.289-383
- Vol. 13, Issue 3 pp.193-288
- Vol. 13, Issue 2 pp.97-192
- Vol. 13, Issue 1 pp.1-96
Volume 12 - 1999
- Vol. 12, Issue 4 pp.289-383
- Vol. 12, Issue 3 pp.193-288
- Vol. 12, Issue 2 pp.97-192
- Vol. 12, Issue 1 pp.1-96
Volume 11 - 1998
- Vol. 11, Issue 4 pp.289-383
- Vol. 11, Issue 3 pp.193-288
- Vol. 11, Issue 2 pp.97-192
- Vol. 11, Issue 1 pp.1-96
Volume 10 - 1997
- Vol. 10, Issue 4 pp.289-383
- Vol. 10, Issue 3 pp.193-288
- Vol. 10, Issue 2 pp.97-192
- Vol. 10, Issue 1 pp.1-96
Volume 9 - 1996
- Vol. 9, Issue 4 pp.289-383
- Vol. 9, Issue 3 pp.193-288
- Vol. 9, Issue 2 pp.97-192
- Vol. 9, Issue 1 pp.1-96
Volume 8 - 1995
- Vol. 8, Issue 4 pp.289-383
- Vol. 8, Issue 3 pp.193-288
- Vol. 8, Issue 2 pp.97-192
- Vol. 8, Issue 1 pp.1-96
Volume 7 - 1994
- Vol. 7, Issue 4 pp.289-383
- Vol. 7, Issue 3 pp.193-288
- Vol. 7, Issue 2 pp.97-192
- Vol. 7, Issue 1 pp.1-96
Volume 6 - 1993
- Vol. 6, Issue 4 pp.289-384
- Vol. 6, Issue 3 pp.193-288
- Vol. 6, Issue 2 pp.97-192
- Vol. 6, Issue 1 pp.1-96
Volume 5 - 1992
- Vol. 5, Issue 4 pp.1-95
- Vol. 5, Issue 3 pp.1-96
- Vol. 5, Issue 2 pp.1-96
- Vol. 5, Issue 1 pp.1-96
Volume 4 - 1991
- Vol. 4, Issue 4 pp.1-96
- Vol. 4, Issue 3 pp.1-96
- Vol. 4, Issue 2 pp.1-96
- Vol. 4, Issue 1 pp.1-96
Volume 3 - 1990
- Vol. 3, Issue 4 pp.1-95
- Vol. 3, Issue 3 pp.1-96
- Vol. 3, Issue 2 pp.1-96
- Vol. 3, Issue 1 pp.1-96
Volume 2 - 1989
- Vol. 2, Issue 4 pp.1-95
- Vol. 2, Issue 3 pp.1-96
- Vol. 2, Issue 2 pp.1-96
- Vol. 2, Issue 1 pp.1-94
Volume 1 - 1988
- Vol. 1, Issue 2 pp.1-96
- Vol. 1, Issue 1 pp.1-95

Volume 28, Number 3

Previous Issue Next Issue

A Remark on the Level Sets of the Graph of Harmonic Functions Bounded by Two Circles in Parallel Planes

Shengli Kong & Jinju Xu

10.4208/jpde.v28.n3.1

J. Part. Diff. Eq., 28 (2015), pp. 197-207.

Preview Purchase PDF 2022 37849 Abstract

Abstract

In this paper,we find two auxiliary functions andmake use of themaximum principle to study the level sets of harmonic function defined on a convex ring with homogeneous Dirichlet boundary conditions in

$\mathbb{R}^2$ . In higher dimensions, we also have a similar result to Jagy's.

An Alternative Method for Solving Lagrange's First-Order Partial Differential Equation with Linear Function Coefficients

Syed Md Himayetul Islam & J. Das

10.4208/jpde.v28.n3.2

J. Part. Diff. Eq., 28 (2015), pp. 208-224.

Preview Purchase PDF 2012 37499 Abstract

Abstract

An alternative method of solving Lagrange's first-order partial differential equation of the form

$(a_1x+b_1y+c_1z)p+(a_2x+b_2y+c_2z)q=a_3x+b_3y+c_3z,$ where p=∂z/∂x, q=∂z/∂y and a_i, b_i, c_i (i=1,2,3) are all real numbers has been presented here.

Renormalized Solutions of Nonlinear Parabolic Equations in Weigthed Variable-Exponent Space

Youssef Akdim, Chakir Allalou & El gorch Nezha

10.4208/jpde.v28.n3.3

J. Part. Diff. Eq., 28 (2015), pp. 225-252.

Preview Purchase PDF 2078 37282 Abstract

Random Attractor for the Nonclassical Diffusion Equation with Fading Memory

Shuilin Cheng

10.4208/jpde.v28.n3.4

J. Part. Diff. Eq., 28 (2015), pp. 253-268.

Preview Purchase PDF 2078 37382 Abstract

Abstract

In this paper,we consider the stochastic nonclassical diffusion equationwith fading memory on a bounded domain. By decomposition of the solution operator, we give the necessary condition of asymptotic smoothness of the solution to the initial boundary value problem, and then we prove the existence of a random attractor in the space

$M_1=D(A^{\frac{1}{2}}) × L^2_μ(R^+, D(A^{\frac{1}{2}}))$ , where A=-Δ with Dirichlet boundary condition.

Exponential Decay of Energy for a Logarithmic Wave Equation

Hongwei Zhang, Gongwei Liu & Qingying Hu

10.4208/jpde.v28.n3.5

J. Part. Diff. Eq., 28 (2015), pp. 269-277.

Preview Purchase PDF 2084 38810 Abstract

Conservation Laws for CKdV and BSSK Systems

Zhouzheng Kang

10.4208/jpde.v28.n3.6

J. Part. Diff. Eq., 28 (2015), pp. 278-285.

Preview Purchase PDF 1980 37179 Abstract

Remarks on Liouville Type Result for the 3D Hall-MHD System