TY - JOUR
T1 - On a Lyapunov functional relating shortening curves and viscous conservation laws
JF - Nonlinear Anal. 51 (2002) 649-662
Y1 - 2002
A1 - Stefano Bianchini
A1 - Alberto Bressan
AB - We study a nonlinear functional which controls the area swept by a curve moving in the plane in the direction of curvature. In turn, this yields a priori estimates on solutions to a class of parabolic equations and of scalar viscous conservation laws. A further application provides an estimate on the \\\"change of shape\\\" of a BV solution to a scalar conservation law.
PB - Elsevier
UR - http://hdl.handle.net/1963/1337
U1 - 3118
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -