Solution of a model problem related to singularly perturbed, free boundary, Stefan type problems

Bizhanova, G. I.

doi:10.1007/s10958-009-9454-7

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Define Second Order Elliptic Operators1

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“…International Journal of Mathematics and Physics 11, №1, 36 (2020) and conjugation conditions on the border � � � � �� | �� , � ∈ � � , (6) �� , �� | �� , � � 1,�, � ∈ � � ,…”

Section: Define Second Order Elliptic Operatorsmentioning

confidence: 99%

An irregular conjugation problem for the system of the parabolic equations in the holder space

Dzhobulaeva

2020

Int. j. math. phys.

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We consider the conjugation problem for the system of parabolicequations with two small parameters �> 0, �> 0 in the boundary conditions.There are proved the existence, uniqueness and uniform coercive estimates ofthe solution with respect to the small parameters in the Holder space. Thisproblem is linearized one of the nonlinear problem with the free boundary ofFlorin type and it is in the base of the proof of the solidified of this nonlinearproblem in the Holder space.We study the problem with the free boundary of the Florin type in the Holder space

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Section: Define Second Order Elliptic Operatorsmentioning

confidence: 99%

An irregular conjugation problem for the system of the parabolic equations in the holder space

Dzhobulaeva

2020

Int. j. math. phys.

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Convergence in the Hölder Space of the Solutions to Problems for Parabolic Equations with Two Small Parameters in Boundary Condition

Bizhanova

2018

J Math Sci

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Solution of a model problem related to singularly perturbed, free boundary, Stefan type problems

Cited by 2 publications

References 1 publication

An irregular conjugation problem for the system of the parabolic equations in the holder space

An irregular conjugation problem for the system of the parabolic equations in the holder space

Convergence in the Hölder Space of the Solutions to Problems for Parabolic Equations with Two Small Parameters in Boundary Condition

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