Logarithmic Convexity and the "Slow Evolution" Constraint in Ill-Posed Initial Value Problems

DOI10.1137/S0036141098332366zbMath0939.35190MaRDI QIDQ4255781

Alfred S. Carasso

Publication date: 27 June 1999

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsanalytic continuationparabolic equationsill-posed problemslogarithmic convexitysubordinated processesholomorphic semigroupsHölder-continuitybackwards in time continuationgrowing diffusion coefficientsnon self-adjoint problemsSECB constraintslow evolution from continuation boundary

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) One-parameter semigroups and linear evolution equations (47D06) Ill-posed problems for PDEs (35R25) Continuation and prolongation of solutions to PDEs (35B60)

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