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# ADVANCES IN DIFFERENTIAL EQUATIONS

## The thin film equation with $2 \le n < 3:$ finite speed of propagation in terms of the $L^1$-norm

• Volume 3, 1998, pages 625-642

## Qualitative properties of certain $C_0$ semigroups arising in elastic systems with various dampings

• Volume 3, 1998, pages 643-686

## Crystalline version of the Stefan problem with Gibbs-Thompson law and kinetic undercooling

• Volume 3, 1998, pages 687-713

## Derivation of quasi-geostrophic potential vorticity equations

• Volume 3, 1998, pages 715-752

## Elliptic boundary value problems involving measures: existence, regularity, and multiplicity

• Volume 3, 1998, pages 753-813

## A stability property for the generalized mean curvature flow equation

• Volume 3, 1998, pages 815-846

## Functional calculi for linear operators in vector-valued $L^p$-spaces via the transference principle

• Volume 3, 1998, pages 847-876

## The dam problem for linear Darcy’s law and nonlinear leaky boundary conditions

• Volume 3, 1998, pages 1-50

## Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations

• Volume 3, 1998, pages 51-84

## A convolution model for interfacial motion: the generation and propagation of internal layers in higher space dimensions

• Volume 3, 1998, pages 85-110

## On the existence of positive solutions for a class of singular elliptic equations

• Volume 3, 1998, pages 111-132

## An inverse problem in the theory of combustion of materials with memory

• Volume 3, 1998, pages 133-154

## Some smoothness and uniqueness results for a shallow-water problem

• Volume 3, 1998, pages 155-176

## A nonlocal singular parabolic problem modelling gravitational interaction of particles

• Volume 3, 1998, pages 177-197

## A reduction method for periodic solutions of second-order subquadratic equations

• Volume 3, 1998, pages 199-226

## A dispersive system of long waves in weighted Sobolev spaces

• Volume 3, 1998, pages 227-248

## Traveling waves of dissipative nonautonomous hyperbolic equations in a strip

• Volume 3, 1998, pages 249-270

## On the asymptotic behaviour of a one-dimensional monocharged plasma and a rescaling method

• Volume 3, 1998, pages 271-292

## Young measures, relaxation of functionals and existence results without weak lower semicontinuity

• Volume 3, 1998, pages 293-336

## Regularity of the attractor for a weakly damped nonlinear Schrödinger equation in $\mathbb{R}^2$

• Volume 3, 1998, pages 337-360

## Asymptotic behaviour for a diffusion-convection equation with rapidly decreasing initial data

• Volume 3, 1998, pages 361-386

## Two direct proofs on the analyticity of the s.c. semigroup arising in abstract thermo-elastic equations

• Volume 3, 1998, pages 387-416

## The thin viscous flow equation in higher space dimensions

• Volume 3, 1998, pages 417-440

## Generalized linking theorem with an application to a semilinear Schrödinger equation

• Volume 3, 1998, pages 441-472

## On the Cauchy problem for some systems occurring in nonlinear optics

• Volume 3, 1998, pages 473-496

## Blow up of critical and subcritical norms in semilinear heat equations

• Volume 3, 1998, pages 497-532

## On some nonlinear equations involving the $p$-Laplacian with critical Sobolev growth

• Volume 3, 1998, pages 533-574

## Existence and uniqueness of positive solutions to certain differential systems

• Volume 3, 1998, pages 575-593

## Solvability conditions for semilinear elliptic boundary value problems at resonance with bounded and unbounded nonlinear terms

• Volume 3, 1998, pages 595-624