**Communications in
Applied Analysis**

**Volume 8, 2004**

CONTENTS

T. Aiki, H. Imai, N. Ishimura and Y. YamadaOne-phase Stefan problems for sublinear heat equations: Asymptotic behavior

of solutions

1K. M. FickComparison of Eigenvalues for 2n-th order Eigenvalue problem

17E. RoccaExistence and uniqueness for the parabolic conserved phase-field model

with memory

27L. Zhou and Z. DuanGlobal and blow-up solutions for quasilinear degenerate parabolic equations

with nonlinear boundary conditions

47T. Jung and Q-H. ChoiTwo solutions of a nonlinear fourth elliptic equation with constant load

61Z. TanAsymptotic behavior and blowup of some degenerate parabolic equation with

critical sobolev exponent

67W. HuyerApproximation of a linear age-dependent population model with spatial diffusion

87S. Bonafede and F. NicolosiQuasilinear degenerate parabolic equations in unbounded domains

109G. Citti and M. ManfrediniA degenerate parabolic equation arising in image processing

125A. J. ZaslavskiGeneric existence of a saddle point

143J. Morgan and S. WaggonnerGlobal existence for a class of quasilinear reaction-diffusion systems

153H. Long and I. SimaoEssential self-adjointness of Ornstein-Uhlenbeck operators perturbed

by certain drifts and singular potentials

167Q. ZhangSplitting scheme of finite-difference streamline diffusion method for

linear convection-diffusion equation

185Z. Guan and M. PrimicerioShear-degradation of complex fluids: A global existence result

205R. P. Agarwal, S. R. Grace and D. O’ReganLinearization of second order sublinear oscillation theorems

219J. M. Almira and N. Del ToroOn negative results in approximation theory

237A. Barrea and C. TurnerTime estimates for the phase-change process in a material with

a perfect thermal contact boundary condition

251T. BarbuApproximations of the filtering problem via fractional step method

263E. Thandapani and I. M. ArockiasamyOscillation and nonoscillation theorems for fourth order neutral

difference equations

279N. Thanh Lan

Fourier series and periodic solutions of differential equations

293R. Luca

Boundary value problems for a second-order nonlinear hyperbolic system

305C. Brezinski

Model reduction by state space projection

323J. M. Almira, N. Del Toro and A. J. Lopez-Morena

A Muntz-type theorem for diophantine approximation on intervals on

length smaller than four

335A. Caruso

On the complete controllability of a distributed parameter nonlinear

control system with partially C1 coefficients

343N. Van Goethem

Variational problems on classes of convex domains

353E. N. Petropoulou and P. D. Siafarikas

Analytic Solutions of the painleve equations

373W. Li-bin

Cauchy problem for quasilinear hyperbolic systems with characteristics

with constant multiplicity

393M. Ramos

Uniform estimates for the Biharmonic operator in ℝN and Applications

435R. P. Gilbert and M. Fang

An obstacle problem in non-isothermal and non-Newtonian Hele-Shaw flows

459G. G. Doronin and N. A. Larkin

Kuramoto-Sivashinsky model for two-phase media

491G. Planas and J. Boldrini

Weak solutions of a phase-field model with convection for solidification

of an alloy

503K. Umezu

Local bifurcation analysis and stability of steady-state solutions for

diffusive logistic equations with nonlinear boundary conditions

533H. Nam and Q-Heung Choi

Multiplicity results and source terms of a nonlinear suspension

bridge equation

549J. 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