A proof of the smoothing properties of the positive part of Boltzmann's kernel | Zendy

François Bouchut | Zendy; Laurent Desvillettes | Zendy

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A proof of the smoothing properties of the positive part of Boltzmann's kernel

Author(s) -

François Bouchut,

Laurent Desvillettes

Publication year - 1998

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/233

Subject(s) - kernel (algebra) , smoothing , kernel smoother , proof of concept , mathematics , statistical physics , computer science , physics , statistics , artificial intelligence , kernel method , discrete mathematics , radial basis function kernel , support vector machine , operating system

We give two direct proofs of Sobolev estimates for the positive part of Boltzmann's kernel. The first deals with a cross section with separated variables; no derivative is needed in this case. The second is concerned with a general cross section having one derivative in the angular variable.

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