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Defect Distributions Related to Weakly Convergent Sequences in Bessel-Type Spaces \({H_{\Lambda }^{-s,p}}\)

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Abstract

We consider microlocal defect distributions associated to a weakly convergent sequences \(u_n\) in \(H^{-s,p}_{\Lambda }\) and \(v_n\) in \(H^{s+m,q}_{\Lambda }\) through the space of pseudo-differential operators with the symbols in \((s^{m,N+1}_\Lambda )_0\). Symbols correspond to a weight function \(\Lambda \) determining a quasi-elliptic symbol. Results are applied to partial differential equations with symbols related to weights of the type \(\Lambda \).

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Authors and Affiliations

  1. Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovića 4, Novi Sad, Serbia

    Jelena Aleksić, Stevan Pilipović & Ivana Vojnović

  2. Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička cesta 30, Zagreb, Croatia

    Ivana Vojnović

Authors
  1. Jelena Aleksić
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  2. Stevan Pilipović
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  3. Ivana Vojnović
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Corresponding author

Correspondence to Ivana Vojnović.

Additional information

The work presented in this paper is partially supported by Ministry of Education and Science, Republic of Serbia, project no. 174024. The third author has partially been supported by Croatian Science Foundation under the Project no. 9780 WeConMApp.

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Aleksić, J., Pilipović, S. & Vojnović, I. Defect Distributions Related to Weakly Convergent Sequences in Bessel-Type Spaces \({H_{\Lambda }^{-s,p}}\). Mediterr. J. Math. 15, 142 (2018). https://doi.org/10.1007/s00009-018-1185-x

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  • DOI: https://doi.org/10.1007/s00009-018-1185-x

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