Coercive solvability of the nonlocal boundary value problem for parabolic differential equations
The nonlocal boundary value problem, v′(t)+Av(t)=f(t)(0≤t≤1),v(0)=v(λ)+μ(0<λ≤1), in an arbitrary Banach space E with the strongly positive operator A, is considered. The coercive stability estimates in Hölder norms for the solution of this problem are proved. The exact Schauder's estimates...
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337501000495 |
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| author | A. Ashyralyev A. Hanalyev P. E. Sobolevskii |
| author_facet | A. Ashyralyev A. Hanalyev P. E. Sobolevskii |
| author_sort | A. Ashyralyev |
| collection | DOAJ |
| description | The nonlocal boundary value problem, v′(t)+Av(t)=f(t)(0≤t≤1),v(0)=v(λ)+μ(0<λ≤1), in an arbitrary Banach space E with the strongly positive operator A, is considered. The coercive stability estimates
in Hölder norms for the solution of this problem are proved. The exact
Schauder's estimates in Hölder norms of solutions of the
boundary value problem on the range {0≤t≤1,xℝ n}
for 2m-order multidimensional parabolic equations are obtaine. |
| format | Article |
| id | doaj-art-99aec81e875f4c848b05c8ea0ac3cadd |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-99aec81e875f4c848b05c8ea0ac3cadd2025-02-03T01:03:51ZengWileyAbstract and Applied Analysis1085-33751687-04092001-01-0161536110.1155/S1085337501000495Coercive solvability of the nonlocal boundary value problem for parabolic differential equationsA. Ashyralyev0A. Hanalyev1P. E. Sobolevskii2Department of Mathematics, Fatih University, Istanbul, TurkeyDepartment of AppliedMathematics, Turkmen State University, Ashgabat, TurkmenistanInstitute of Mathematics, Hebrew University, Jerusalem, IsraelThe nonlocal boundary value problem, v′(t)+Av(t)=f(t)(0≤t≤1),v(0)=v(λ)+μ(0<λ≤1), in an arbitrary Banach space E with the strongly positive operator A, is considered. The coercive stability estimates in Hölder norms for the solution of this problem are proved. The exact Schauder's estimates in Hölder norms of solutions of the boundary value problem on the range {0≤t≤1,xℝ n} for 2m-order multidimensional parabolic equations are obtaine.http://dx.doi.org/10.1155/S1085337501000495 |
| spellingShingle | A. Ashyralyev A. Hanalyev P. E. Sobolevskii Coercive solvability of the nonlocal boundary value problem for parabolic differential equations Abstract and Applied Analysis |
| title | Coercive solvability of the nonlocal boundary value problem for parabolic differential equations |
| title_full | Coercive solvability of the nonlocal boundary value problem for parabolic differential equations |
| title_fullStr | Coercive solvability of the nonlocal boundary value problem for parabolic differential equations |
| title_full_unstemmed | Coercive solvability of the nonlocal boundary value problem for parabolic differential equations |
| title_short | Coercive solvability of the nonlocal boundary value problem for parabolic differential equations |
| title_sort | coercive solvability of the nonlocal boundary value problem for parabolic differential equations |
| url | http://dx.doi.org/10.1155/S1085337501000495 |
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