Communications in Applied Analysis, Volume 8, 2004

Communications in Applied Analysis

Volume 8, 2004

CONTENTS

T. Aiki, H. Imai, N. Ishimura and Y. Yamada
One-phase Stefan problems for sublinear heat equations: Asymptotic behavior
of solutions
1

K. M. Fick
Comparison of Eigenvalues for 2n-th order Eigenvalue problem
17

E. Rocca
Existence and uniqueness for the parabolic conserved phase-field model
with memory
27

L. Zhou and Z. Duan
Global and blow-up solutions for quasilinear degenerate parabolic equations
with nonlinear boundary conditions
47

T. Jung and Q-H. Choi
Two solutions of a nonlinear fourth elliptic equation with constant load
61

Z. Tan
Asymptotic behavior and blowup of some degenerate parabolic equation with
critical sobolev exponent
67

W. Huyer
Approximation of a linear age-dependent population model with spatial diffusion
87

S. Bonafede and F. Nicolosi
Quasilinear degenerate parabolic equations in unbounded domains
109

G. Citti and M. Manfredini
A degenerate parabolic equation arising in image processing
125

A. J. Zaslavski
Generic existence of a saddle point
143

J. Morgan and S. Waggonner
Global existence for a class of quasilinear reaction-diffusion systems
153

H. Long and I. Simao
Essential self-adjointness of Ornstein-Uhlenbeck operators perturbed
by certain drifts and singular potentials
167

Q. Zhang
Splitting scheme of finite-difference streamline diffusion method for
linear convection-diffusion equation
185

Z. Guan and M. Primicerio
Shear-degradation of complex fluids: A global existence result
205

R. P. Agarwal, S. R. Grace and D. O’Regan
Linearization of second order sublinear oscillation theorems
219

J. M. Almira and N. Del Toro
On negative results in approximation theory
237

A. Barrea and C. Turner
Time estimates for the phase-change process in a material with
a perfect thermal contact boundary condition
251

T. Barbu
Approximations of the filtering problem via fractional step method
263

E. Thandapani and I. M. Arockiasamy
Oscillation and nonoscillation theorems for fourth order neutral
difference equations
279

N. Thanh Lan
Fourier series and periodic solutions of differential equations
293

R. Luca
Boundary value problems for a second-order nonlinear hyperbolic system
305

C. Brezinski
Model reduction by state space projection
323

J. M. Almira, N. Del Toro and A. J. Lopez-Morena
A Muntz-type theorem for diophantine approximation on intervals on
length smaller than four
335

A. Caruso
On the complete controllability of a distributed parameter nonlinear
control system with partially C1 coefficients
343

N. Van Goethem
Variational problems on classes of convex domains
353

E. N. Petropoulou and P. D. Siafarikas
Analytic Solutions of the painleve equations
373

W. Li-bin
Cauchy problem for quasilinear hyperbolic systems with characteristics
with constant multiplicity
393

M. Ramos
Uniform estimates for the Biharmonic operator in ℝN and Applications
435

R. P. Gilbert and M. Fang
An obstacle problem in non-isothermal and non-Newtonian Hele-Shaw flows
459

G. G. Doronin and N. A. Larkin
Kuramoto-Sivashinsky model for two-phase media
491

G. Planas and J. Boldrini
Weak solutions of a phase-field model with convection for solidification
of an alloy
503

K. Umezu
Local bifurcation analysis and stability of steady-state solutions for
diffusive logistic equations with nonlinear boundary conditions
533

H. Nam and Q-Heung Choi
Multiplicity results and source terms of a nonlinear suspension
bridge equation
549

J. M. Almira, N. Del Toro, and J. Jordar
Several Muntz type theorems for simultaneous Diophantine approximation
on intervals of length smaller than 2.21/2
563

T. Aiki, H. Imai, N. Ishimura and Y. Yamada One-phase Stefan problems for sublinear heat equations: Asymptotic behavior of solutions	1
K. M. Fick Comparison of Eigenvalues for 2n-th order Eigenvalue problem	17
E. Rocca Existence and uniqueness for the parabolic conserved phase-field model with memory	27
L. Zhou and Z. Duan Global and blow-up solutions for quasilinear degenerate parabolic equations with nonlinear boundary conditions	47
T. Jung and Q-H. Choi Two solutions of a nonlinear fourth elliptic equation with constant load	61
Z. Tan Asymptotic behavior and blowup of some degenerate parabolic equation with critical sobolev exponent	67
W. Huyer Approximation of a linear age-dependent population model with spatial diffusion	87
S. Bonafede and F. Nicolosi Quasilinear degenerate parabolic equations in unbounded domains	109
G. Citti and M. Manfredini A degenerate parabolic equation arising in image processing	125
A. J. Zaslavski Generic existence of a saddle point	143
J. Morgan and S. Waggonner Global existence for a class of quasilinear reaction-diffusion systems	153
H. Long and I. Simao Essential self-adjointness of Ornstein-Uhlenbeck operators perturbed by certain drifts and singular potentials	167
Q. Zhang Splitting scheme of finite-difference streamline diffusion method for linear convection-diffusion equation	185
Z. Guan and M. Primicerio Shear-degradation of complex fluids: A global existence result	205
R. P. Agarwal, S. R. Grace and D. O’Regan Linearization of second order sublinear oscillation theorems	219
J. M. Almira and N. Del Toro On negative results in approximation theory	237
A. Barrea and C. Turner Time estimates for the phase-change process in a material with a perfect thermal contact boundary condition	251
T. Barbu Approximations of the filtering problem via fractional step method	263
E. Thandapani and I. M. Arockiasamy Oscillation and nonoscillation theorems for fourth order neutral difference equations	279
N. Thanh Lan Fourier series and periodic solutions of differential equations	293
R. Luca Boundary value problems for a second-order nonlinear hyperbolic system	305
C. Brezinski Model reduction by state space projection	323
J. M. Almira, N. Del Toro and A. J. Lopez-Morena A Muntz-type theorem for diophantine approximation on intervals on length smaller than four	335
A. Caruso On the complete controllability of a distributed parameter nonlinear control system with partially C1 coefficients	343
N. Van Goethem Variational problems on classes of convex domains	353
E. N. Petropoulou and P. D. Siafarikas Analytic Solutions of the painleve equations	373
W. Li-bin Cauchy problem for quasilinear hyperbolic systems with characteristics with constant multiplicity	393
M. Ramos Uniform estimates for the Biharmonic operator in ℝN and Applications	435
R. P. Gilbert and M. Fang An obstacle problem in non-isothermal and non-Newtonian Hele-Shaw flows	459
G. G. Doronin and N. A. Larkin Kuramoto-Sivashinsky model for two-phase media	491
G. Planas and J. Boldrini Weak solutions of a phase-field model with convection for solidification of an alloy	503
K. Umezu Local bifurcation analysis and stability of steady-state solutions for diffusive logistic equations with nonlinear boundary conditions	533
H. Nam and Q-Heung Choi Multiplicity results and source terms of a nonlinear suspension bridge equation	549
J. M. Almira, N. Del Toro, and J. Jordar Several Muntz type theorems for simultaneous Diophantine approximation on intervals of length smaller than 2.21/2	563