engleski

Velocity averaging and existence of solutions for degenerate parabolic equations

We prove a velocity averaging result for the L^p-bounded, p>=2, sequence of solutions to degenerate dissipative transport equations. As a consequence, we prove existence of weak solution to degenerate parabolic equations with discontinuous flux. In the proofs a new variant of H-measures (or microlocal defect measures) is introduced and used, which is adapted to equations that change type.

velocity averaging ; H-measures ; degenerate parabolic equations

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