Abstract
We analyze weakly convergent sequences in weighted Sobolev spaces using global pseudo-differential calculus with non-isotropic symbols and we prove the existence of so called defect distributions. Then we apply results to a differential equation with power type coefficients related to a Newton’s complete polyhedron.
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The work presented in this paper is partially supported by Ministry of Education and Science, Republic of Serbia, Project No. 174024. The second author was supported in part by the Croatian Science Foundation under Project IP-2018-01-2449 (MiTPDE).
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Pilipović, S., Vojnović, I. Defect distributions applied to differential equations with power function type coefficients. J. Pseudo-Differ. Oper. Appl. 11, 1231–1248 (2020). https://doi.org/10.1007/s11868-019-00322-1
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DOI: https://doi.org/10.1007/s11868-019-00322-1