Multivalued linear operators and degenerate evolution equations
Copyright policy )Multivalued linear operators and degenerate evolution equations
Degenerate linear evolution equations of the form \(d(M(t)v)/dt+ L(t)v= f(t)\) or of the form \(M(t)dv/dt+ L(t)v= M(t) f(t)\) are investigated by reducing to the nondegenerate equation \(du/dt+ A(t)u\ni f(t)\), where \(A(t)= L(t) M(t)^{-1}\) (resp. \(M(t)^{-1} L(t))\) is linear but multivalued. Applications to some degenerate parabolic problems are also given.
General theory of ordinary differential operators, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), degenerate linear evolution equations, Equations and inequalities involving linear operators, with vector unknowns
General theory of ordinary differential operators, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), degenerate linear evolution equations, Equations and inequalities involving linear operators, with vector unknowns
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