Second-order parabolic differential-difference equations.
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Publication:1432709
zbMath1048.35122MaRDI QIDQ1432709
R. V. Shamin, Alexander L. Skubachevskii
Publication date: 15 June 2004
Published in: Doklady Mathematics (Search for Journal in Brave)
existenceuniquenessmixed problemapplications in nonlinear opticsparabolic differential-difference equation
PDEs in connection with optics and electromagnetic theory (35Q60) Initial-boundary value problems for second-order parabolic equations (35K20) Partial functional-differential equations (35R10)
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Smoothness of solutions to the mixed problem for elliptic differential-difference equation in cylinder ⋮ Regularity of solutions to the Robin problem for differential-difference equations ⋮ Fractional powers of operators corresponding to coercive problems in Lipschitz domains ⋮ On a class of elliptic functional-differential equations with orthotropic contractions-expansions ⋮ Elliptic functional differential equations with degenerations ⋮ On a property of regularly accretive differential-difference operators with degeneracy ⋮ On a class of functional–differential operators satisfying the Kato conjecture
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