most citedBallistic deposition patterns beneath a growing KPZ interface

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math.OC2003

A blow-up phenomenon in the Hamilton-Jacobi equation in an unbounded domain

Konstantin Khanin, Dmitry Khmelev, Andrei Sobolevskii

We construct an example of blow-up in a flow of min-plus linear operators arising as solution operators for a Hamilton-Jacobi equation with a Hamiltonian of the form |p|^alpha+U(x,…