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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |