A Priori Estimates and Continuous Dependence of Solutions of Thermophysical Problems as Nonlocal Boundary Conditions Pass into Local One

1
Dr. N. I. Yurchuk
Dr. N. I. Yurchuk
2
T. S. Shlapakova
T. S. Shlapakova
1 Belorussian State University, Belarus.

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GJSFR Volume 12 Issue F9

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A priori estimates of the differences of solutions of non-local and local problems for heat equations are established. Using them prove continuous dependence of solutions of nonlocal problems as nonlocal boundary conditions pass into local ones.

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No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

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Not applicable for this article.

Dr. N. I. Yurchuk. 2012. \u201cA Priori Estimates and Continuous Dependence of Solutions of Thermophysical Problems as Nonlocal Boundary Conditions Pass into Local One\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F9): .

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GJSFR Volume 12 Issue F9
Pg. 39- 46
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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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v1.2

Issue date

August 7, 2012

Language

English

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A priori estimates of the differences of solutions of non-local and local problems for heat equations are established. Using them prove continuous dependence of solutions of nonlocal problems as nonlocal boundary conditions pass into local ones.

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A Priori Estimates and Continuous Dependence of Solutions of Thermophysical Problems as Nonlocal Boundary Conditions Pass into Local One

Dr. N. I. Yurchuk
Dr. N. I. Yurchuk Belorussian State University, Belarus.
T. S. Shlapakova
T. S. Shlapakova

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