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BOUNARY-VALUE PROBLEMS FOR DIFFERENTIAL FORMS

M. D. Surnachev

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow



Abstract: This review report will be devoted to boundary value problems for differential forms. We will consider problems with the Hodge-Laplace operator under various boundary conditions and the Hodge–Morrey–Kodaira–Friedrichs expansion, first-order systems of the div-rot type, “partial” problems such as finding a form with a given differential and their interrelation.


© Steklov Math. Inst. of RAS, 2026