The heat flow in nonlinear Hodge theory under general growth

DOI10.1016/j.jde.2024.09.043MaRDI QIDQ6652146

Christoph Hamburger

Publication date: 12 December 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

mean curvature flowgas dynamicsheat flow methodnonlinear Hodge theory\(\rho\)-harmonic exterior formsexterior curvature operator

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) Variational principles in infinite-dimensional spaces (58E30) Variational methods for elliptic systems (35J50) Hodge theory in global analysis (58A14) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Initial value problems for second-order parabolic systems (35K45) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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