First order quasilinear equations with boundary conditions
- 1 January 1979
- journal article
- research article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 4 (9), 1017-1034
- https://doi.org/10.1080/03605307908820117
Abstract
We solve the initial and boundary condition problem for a general first order quasilinear equation in several space variables by using a vanishing viscosity method and give a definition which characterizes the obtained solution.This publication has 2 references indexed in Scilit:
- A numerical conception of entropy for quasi-linear equationsMathematics of Computation, 1977
- Perturbations singulières et prolongements maximaux d'opérateurs positifsArchive for Rational Mechanics and Analysis, 1973