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A generalized Milne-Thomson theorem for the case of parabolic inclusion infinite planar medium consisting of two dissimilar homogeneous components with a parabolic interface. New

The unique solvability of a certain nonlocal nonlinear problem with a spatial operator strongly monotone with respect to the gradientWe consider a nonlinear degenerate parabolic equation whose spatial operator depends on a nonlocal

Nonexistence of Global Weak Solutions for Evolution Equations with Fractional LaplacianAbstract: A nonlocal nonlinear parabolic equation with fractional Laplacian is considered. By means

On some properties of elliptic and parabolic functional differential operators arising in nonlinear opticsQuasilinear parabolic functional differential equations containing multiple transformations

Voigt lineshape function as a solution of the parabolic partial differential equationThe goal of this paper is to show that the Voigt function may be found as a solution of a parabolic

Sharp pointwise estimates for solutions of weakly coupled second-order parabolic system in a layer homogeneous and nonhomogeneous weakly coupled second-order parabolic system in the layer (Formula presented

On an explicit difference method for solving one nonlinear parabolic equation with double degeneration and nonlocal spatial operatorWe consider the initial-boundary value problem for nonlinear parabolic equation. This type

Exactly solvable model for transmission line with artificial dispersion structure of the solutions is described using sine waves and elementary functions, and the dispersion

The second order of accuracy difference schemes for integral type time-nonlocal parabolic problemsThe second order of accuracy difference schemes for integral type time-nonlocal parabolic problems

Well-posedness of a Problem with the Initial Conditions for Parabolic Fractional-Differential Equations with Time ShiftsWell-posedness of a Problem with the Initial Conditions for Parabolic Fractional

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