The Riemann Function for the Third-Order One-Dimensional Pseudoparabolic Equation |
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Authors: | Kamil Oruçoğlu Seyidali S. Akhiev |
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Affiliation: | (1) Faculty of Science, Technical University of Istanbul, Maslak 80626 Istanbul, Turkey |
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Abstract: | In this work, some classes of initial boundary-value problems are investigated in the Sobolev space for the third-order linear pseudoparabolic equation having, in general, nonsmooth coefficients. A new type of Riemann function concept is given for these problems, which is more natural than the classical Riemann-type function concept, and an integral form of the solutions of nonhomogeneous problems can be found more naturally using this concept. |
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Keywords: | fundamental solution Riemann function pseudoparabolic nonsmooth Sobolev space |
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