First existence and uniqueness results for quasilinear Allen-Cahn systems with non-convex gradient energy, via maximal regularity for strong solutions and minimizing movements plus higher integrability for weak solutions.
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Proves that the p-th order EERK method for semilinear parabolic problems with initial regularity γ achieves convergence rate min(1 + γ/2 + ρ1(γ)/2, p).
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Weak and strong solutions for a class of quasilinear Allen--Cahn systems
First existence and uniqueness results for quasilinear Allen-Cahn systems with non-convex gradient energy, via maximal regularity for strong solutions and minimizing movements plus higher integrability for weak solutions.