Well‐posedness and regularity results for a 2m‐th order parabolic equation in symmetric conical domains of ℝN+1

Cherfaoui, Saïda; Kessab, Amor; Kheloufı, Arezkı

doi:10.1002/mma.4451

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2022

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“…If the uniqueness of the solution of the boundary value problem is violated, then the loading can be interpreted as a strong perturbation. It turns out here that the character of the load is a perturbation (weak or strong perturbation) [13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 98%

On the Correctness of Boundary Value Problems for the Two-Dimensional Loaded Parabolic Equation

Attaev¹,

Ramazanov²,

Omarov³

2022

Bul. Kar. Univ. - Math.

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The paper studies the problems of the correctness of setting boundary value problems for a loaded parabolic equation. The a feature of the problems is that the order of the derivative in the loaded term is less than or equal to the order of the differential part of the equation, and the load point moves according to a nonlinear law. At the same time, the distinctive characteristic is that the line, on which the loaded term is set, is at the zero point. On the basis of the study the authors proved the theorems about correctness of the studied boundary value problems.

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