A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf
.
Regularity for Hamilton-Jacobi equations via approximation
1995
Bulletin of the Australian Mathematical Society
REGULARITY FOR HAMILTON-JACOBI EQUATIONS VIA APPROXIMATION BUM I I HONG We prove new regularity results for solutions of first-order partial differential equations of Hamilton-Jacobi type posed as initial value problems on the real line. We show that certain spaces determined by quasinorms related to the solution's approximation properties in C(R) by continuous, piecewise quadratic polynomial functions are invariant under the action of the differential equation. As a result, we show that
doi:10.1017/s0004972700014052
fatcat:arnoqydpcrd5foyszqeys4pl4u