1. DSpace at Saint Petersburg State University
  2. St.PETERSBURG UNIVERSITY ACADEMIC PRESS
  3. ACADEMIC JOURNALS
  4. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
  5. 2024
  6. Issue 1
Please use this identifier to cite or link to this item: http://hdl.handle.net/11701/45448
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dc.contributor.authorApushkinskaya, Darya E.-
dc.contributor.authorArkhipova, Arina A.-
dc.contributor.authorNazarov, Alexander I.-
dc.contributor.authorOsmolovskii, Victor G.-
dc.contributor.authorUraltseva, Nina N.-
dc.date.accessioned2024-05-30T14:57:18Z-
dc.date.available2024-05-30T14:57:18Z-
dc.date.issued2024-03-
dc.identifier.citationApushkinskaya D.E., Arkhipova A.A., Nazarov A. I., Osmolovskii V.G., Uraltseva N.N. A survey of results of St.Petersburg State University research school on nonlinear partial differential equations. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, vol. 11 (69), issue 1, pp. 3–37. https://doi.org/10.21638/spbu01.2024.101 (In Russian)en_GB
dc.identifier.otherhttps://doi.org/10.21638/spbu01.2024.101-
dc.identifier.urihttp://hdl.handle.net/11701/45448-
dc.description.abstractThe article contains a review of the most important results obtained in the framework of the St.Petersburg State University research school on nonlinear PDEs (the O. A. Ladyzhenskaya— N. N. Uraltseva school). The main attention is paid to the works carried out at our university over the past 50 years. The first part of the review concerns the solvability and qualitative properties of solutions to boundary value problems for the second order scalar quasilinear elliptic and parabolic equations, as well as variational problems. The planned second part of the review will include sections on fully nonlinear equations and systems of equations and on free boundary problems.en_GB
dc.description.sponsorshipThe work of D. E. Apushkinskaya and A. I. Nazarov is supported by Russian Science Foundation (grant no. 22-21-00027).en_GB
dc.language.isoruen_GB
dc.publisherSt Petersburg State Universityen_GB
dc.relation.ispartofseriesVestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 11 (69); Issue 1-
dc.subjectquasilinear equationsen_GB
dc.subjectboundary value problemsen_GB
dc.subjectvariational inequalitiesen_GB
dc.subjectcalculus of variationsen_GB
dc.titleA survey of results of St.Petersburg State University research school on nonlinear partial differential equationsen_GB
dc.typeArticleen_GB
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