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Open Access Correction

Correction: ‘Abstract elliptic operators appearing in atmospheric dispersion’ by Veli B Shakhmurov and Aida Sahmurova published in the journal of Boundary Value Problems, 2014, V. 2014: 43

Veli B Shakhmurov12* and Aida Sahmurova3

Author Affiliations

1 Department of Mechanical Engineering, Okan University, Akfirat, Tuzla, Istanbul, 34959, Turkey

2 Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan

3 Okan University, Akfirat, Tuzla, Istanbul, 34959, Turkey

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Boundary Value Problems 2014, 2014:116  doi:10.1186/1687-2770-2014-116

The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2014/1/116


Received:1 May 2014
Accepted:2 May 2014
Published:14 May 2014

© 2014 Shakhmurov and Sahmurova; licensee Springer.

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited.

Correction

Errata of paper [1]. In Theorems 3.2 and 3.3 it should say <a onClick="popup('http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M1">View MathML</a>, i.e., these theorems should read as follows.

Theorem 3.2Let Condition 3.2 hold. Then problem (3.5)-(3.6) has a unique solution<a onClick="popup('http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M2','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M2">View MathML</a>for<a onClick="popup('http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M3','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M3">View MathML</a>, <a onClick="popup('http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M4','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M4">View MathML</a>, with sufficiently large<a onClick="popup('http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M5','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M5">View MathML</a>and the following coercive uniform estimate holds:

<a onClick="popup('http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M6','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M6">View MathML</a>

(3.7)

Theorem 3.3Assume Condition 3.2 holds. Then the operator<a onClick="popup('http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M7','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M7">View MathML</a>for<a onClick="popup('http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M8','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M8">View MathML</a>and for sufficiently large<a onClick="popup('http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M9','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M9">View MathML</a>is an isomorphism from

<a onClick="popup('http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M10','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M10">View MathML</a>

Moreover, the following uniform coercive estimate holds:

<a onClick="popup('http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M11','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2014/1/116/mathml/M11">View MathML</a>

(3.12)

References

  1. Shakhmurov, VB, Sahmurova, A: Abstract elliptic operators appearing in atmospheric dispersion. Bound. Value Probl.. 2014, Article ID 43 (2014)