Moscow Mathematical Journal
Volume 16, Issue 2, April–June 2016 pp. 299–321.
Separable Differential Operators and Applications
The nonlocal boundary value problems for degenerate differential-operator equations with variable coefficients are studied. The
Lp separability properties of elliptic problems and well-posedeness of
parabolic problems in mixed Lp spaces are derived. Then by using the
regularity properties of linear problems, the existence and uniqueness of
solution of nonlinear elliptic problem is obtained. Note that applications
of these problems can be models of different physics process. 2010 Math. Subj. Class. 35xx, 35Kxx, 47Hxx, 34Bxx, 43Axx, 46Bxx.
Authors:
Veli B. Shakhmurov (1)
Author institution:(1) Department of Mechanical Engineering, Okan University, Akfirat, Tuzla 34959 Istanbul, Turkey; and Department of Mathematics, Azerbaycan Khazar University
Summary:
Keywords: Abstract harmonic analysis, differential-operator equations, degenerate PDE, semigroups of operators, Sobolev–Lions spaces, separable differential operators.
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