Partial regularity for degenerate parabolic systems with general growth via caloric approximations
arxiv(2023)
摘要
We establish a partial regularity result for solutions of parabolic systems
with general φ-growth, where φ is an Orlicz function. In this
setting we can develop a unified approach that is independent of the degeneracy
of system and relies on two caloric approximation results: the
φ-caloric approximation, which was introduced in Diening, Schwarzacher,
Stroffolini and Verde (2017) (arXiv:1606.01706), and an improved version of the
𝒜-caloric approximation, which we prove without using the classical
compactness method.
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