𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Young measure solutions of some nonlinear mixed-type equations

✍ Scribed by Hans-Peter Gittel

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
211 KB
Volume
33
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Communicated by W. Wendland

This contribution deals with measure-valued solutions to two types of nonlinear partial differential equations for which, in general, the results on the existence of classical or weak solutions fail. These are the potential equation for transonic flow and the associated unsteady problem (forward-backward diffusion equation). The solutions are constructed by an iteration scheme (Katchanov method) and additional time discretization (Rothe method) in the second case. The existence is proved in the sense of spatial gradient Young measures.

πŸ“œ SIMILAR VOLUMES

Asymptotic Stability of Some Nonlinear B
Asymptotic Stability of Some Nonlinear Boltzmann-Type Equations
✍ Andrzej Lasota πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 144 KB

A generalized version of the Tjon-Wu equation is considered. It describes the evolution of the energy distribution in a model of gas in which simultaneous collisions of many particles are permitted. Using the technique of Zolotarev metrics we show that the stationary solution is exponentially stable

Positive Radial Solutions of Some Nonlin
Positive Radial Solutions of Some Nonlinear Partial Differential Equations
✍ Hai Dang; RaΓΊl ManΓ‘sevich; Klaus Schmitt πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 399 KB

We consider Dirichlet boundary value problems for a class of nonlinear ordinary differential equations motivated by the study of radial solutions of equations which are perturbations of the p -Laplacian.

Uniqueness of Positive Solutions for Som
Uniqueness of Positive Solutions for Some Nonlinear Fourth-Order Equations
✍ R. Dalmasso πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 191 KB

In this paper we study the uniqueness question of positive solutions of the two X Ε½ . proved when f satisfies 0f uuf u for u ) 0. Some examples are also given.

Approximated Solution of a Nonlinear Sin
Approximated Solution of a Nonlinear Singular Equation of Prandtl's Type
✍ D. Oestreich πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 468 KB

A nonlinear strongly singular integral equation, which can be reduced to a nonlinear singular integro-differential equation of Prandtl's type, is considered. A collocation method for solution is treated and the convergence of the approximated solution to the unique solution of the nonlinear integral