Evolution Generated by continuous Dissipative Plus Compact Operators
Evolution Generated by continuous Dissipative Plus Compact Operators
Schechter, Eric
1981-07-01 00:00:00
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)).
http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.pngBulletin of the London Mathematical SocietyWileyhttp://www.deepdyve.com/lp/wiley/evolution-generated-by-continuous-dissipative-plus-compact-operators-F2XzEzTJEd
Evolution Generated by continuous Dissipative Plus Compact Operators
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)).
Journal
Bulletin of the London Mathematical Society
– Wiley
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