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Lipschitz Truncation for Degenerate Parabolic Multi-Phase Systems

A technique for proving energy estimates for weak solutions of degenerate parabolic PDE systems with multi-phase (several-exponent) growth. Learners see how the Lipschitz truncation redefines a solution to be Lipschitz on a good set and adjusts it on bad sets through a Whitney covering and partition of unity, combined with a comparison scheme that identifies the active growth phase at each point of the space-time domain.

Data Text

2501.00183

A parabolic multi-phase problem is a nonlinear evolution PDE whose leading operator sums several power-growth terms with variable, Holder-continuous coefficients, u_t - div(|grad u|^{p-2} grad u + a(…