Evolution Generated by continuous Dissipative Plus Compact Operators | Zendy

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Evolution Generated by continuous Dissipative Plus Compact Operators

Author(s) -

Schechter Eric

Publication year - 1981

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/13.4.303

Subject(s) - mathematics , banach space , dissipative system , pure mathematics , evolution equation , range (aeronautics) , space (punctuation) , nonlinear system , dissipative operator , discrete mathematics , mathematical analysis , physics , materials science , quantum mechanics , composite material , linguistics , philosophy

Let B and C be continuous nonlinear operators in a Banach space. Assume that B satisfies a dissipativeness condition, and that the range of C is relatively compact. Some sufficient conditions are given for the existence of solutions of the equation u ′( t ) = B ( t , u ( t )) + C ( t , u ( t )).

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