2 00 4 Dynamical systems method ( DSM ) for unbounded operators

Abstract

Let L be an unbounded linear operator in a real Hilbert space H, a generator of C 0 semigroup, and g : H → H be a C 2 loc nonlinear map. The DSM (dynamical systems method) for solving equation F (v) := Lv + gv = 0 consists of solving the Cauchy problem ˙ u = Φ(t, u), u(0) = u 0 , where Φ is a suitable operator, and proving that i) ∃u(t) ∀t > 0, ii) ∃u… (More)

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