Sequences of semigroups of nonlinear operators and their applications to study the cauchy problem for parabolic equations
Journal Title: Вісник Тернопільського національного технічного університету - Year 2016, Vol 84, Issue 4
Abstract
We consider the operator function of exponential type, studied the link between these functions (semigroup) and Cauchy problem for differential parabolic equation. We establish conditions under which the semigroup is associated with Cauchy problem; we investigate semigroups sequences and their convergence to function of exponential type which is semigroup. We consider maximal dissipative operators and maximum semigroups. We study the problem of existence of the solution of nonlinear partial differential equations of parabolic type with measurable coefficients, nonlinear term which satisfies the forms – bouded conditions
Authors and Affiliations
Mikola Yaremenko
Keywords
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