×

Entropy condition for a quasilinear hyperbolic equation with hysteresis. (English) Zbl 1212.35295

Summary: A quasilinear hyperbolic equation with hysteresis is studied. For the integral solution of this equation we derive an entropy condition of the type introduced by S. N. Kružkov.

MSC:

35L60 First-order nonlinear hyperbolic equations
47J40 Equations with nonlinear hysteresis operators
PDF BibTeX XML Cite