Estimates for first-order homogeneous linear characteristic problems
Simonetta Frittelli · Journal of Physics A Mathematical and General · 2005
An algebraic criterion that is sufficient to establish the existence of certain a priori estimates for the solution of first-order homogeneous linear characteristic problems is derived. Estimates of such kind ensure the stability of the solutions under small variations of the data. Characteristic problems that satisfy this criterion are, in a sense, manifestly well posed.