Abstract parabolic systems and regularized semigroups
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Publication:1392486
DOI10.2140/pjm.1998.182.183zbMath0915.47036OpenAlexW1967641832MaRDI QIDQ1392486
Publication date: 7 July 1999
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1998.182.183
wellposednessregularized semigroupsabstract parabolic systemssystems with time-dependent coefficients
One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05) Second-order parabolic equations (35K10)
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Matrices of operators and regularized cosine functions ⋮ Regularization for ill-posed Cauchy problems associated with generators of analytic semigroups ⋮ \(H^p-H^q\) estimates for dispersive equations and related applications ⋮ Differential and analytical properties of semigroups of operators ⋮ Abstract Volterra equations in locally convex spaces ⋮ Convex hypersurfaces and \(L^p\) estimates for Schrödinger equations. ⋮ Applications of semigroups of operators to non-elliptic differential operators ⋮ Abstract differential operators generating fractional resolvent families ⋮ Oscillatory integrals and \(L^p\) estimates for Schrödinger equations ⋮ \(L^p-L^q\) estimates for dispersive equations and related applications ⋮ Fractional evolution equations governed by coercive differential operators ⋮ \((a,k)\)-regularized \(C\)-resolvent families: regularity and local properties ⋮ Degenerate abstract Volterra equations in locally convex spaces ⋮ Evolution equations for abstract differential operators
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