Blow-up in nonlinear equations of mathematical physics :: theory and methods /
The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations of mathematical physics. The included material is based on lectures read by the authors at the Lomonosov Moscow State University, and the book is addressed to a wide ran...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
De Gruyter,
[2018]
|
| Schriftenreihe: | De Gruyter series in nonlinear analysis and applications ;
27. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations of mathematical physics. The included material is based on lectures read by the authors at the Lomonosov Moscow State University, and the book is addressed to a wide range of researchers and graduate students working in nonlinear partial differential equations, nonlinear functional analysis, and mathematical physics. ContentsNonlinear capacity method of S.I. PokhozhaevMethod of self-similar solutions of V.A. GalaktionovMethod of test functions in combination with method of nonlinear capacityEnergy method of H.A. LevineEnergy method of G. TodorovaEnergy method of S.I. PokhozhaevEnergy method of V.K. Kalantarov and O.A. LadyzhenskayaEnergy method of M.O. Korpusov and A.G. SveshnikovNonlinear Schrödinger equationVariational method of L.E. Payne and D.H. SattingerBreaking of solutions of wave equationsAuxiliary and additional results. |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9783110602074 3110602075 9783110599008 3110599007 3110601087 9783110601084 |
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| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Introduction -- |t Notation -- |t List Of Nonlinear Equations -- |t 1. Nonlinear Capacity Method Of S.I. Pokhozhaev -- |t 2. Method Of Self-Similar Solutions Of V.A. Galaktionov -- |t 3. Method Of Test Functions In Combination With Method Of Nonlinear Capacity -- |t 4. Energy Method Of H.A. Levine -- |t 5. Energy Method Of G. Todorova -- |t 6. Energy Method Of S.I. Pokhozhaev -- |t 7. Energy Method Of V.K. Kalantarov And O.A. Ladyzhenskaya -- |t 8. Energy Method Of M.O. Korpusov And A.G. Sveshnikov -- |t 9. Nonlinear Schrödinger Equation -- |t 10. Variational Method Of L.E. Payne And D.H. Sattinger -- |t 11. Breaking Of Solutions Of Wave Equations -- |t A Auxiliary And Additional Results -- |t Bibliography -- |t Index. |
| 520 | |a The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations of mathematical physics. The included material is based on lectures read by the authors at the Lomonosov Moscow State University, and the book is addressed to a wide range of researchers and graduate students working in nonlinear partial differential equations, nonlinear functional analysis, and mathematical physics. ContentsNonlinear capacity method of S.I. PokhozhaevMethod of self-similar solutions of V.A. GalaktionovMethod of test functions in combination with method of nonlinear capacityEnergy method of H.A. LevineEnergy method of G. TodorovaEnergy method of S.I. PokhozhaevEnergy method of V.K. Kalantarov and O.A. LadyzhenskayaEnergy method of M.O. Korpusov and A.G. SveshnikovNonlinear Schrödinger equationVariational method of L.E. Payne and D.H. SattingerBreaking of solutions of wave equationsAuxiliary and additional results. | ||
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| contents | Frontmatter -- Contents -- Introduction -- Notation -- List Of Nonlinear Equations -- 1. Nonlinear Capacity Method Of S.I. Pokhozhaev -- 2. Method Of Self-Similar Solutions Of V.A. Galaktionov -- 3. Method Of Test Functions In Combination With Method Of Nonlinear Capacity -- 4. Energy Method Of H.A. Levine -- 5. Energy Method Of G. Todorova -- 6. Energy Method Of S.I. Pokhozhaev -- 7. Energy Method Of V.K. Kalantarov And O.A. Ladyzhenskaya -- 8. Energy Method Of M.O. Korpusov And A.G. Sveshnikov -- 9. Nonlinear Schrödinger Equation -- 10. Variational Method Of L.E. Payne And D.H. Sattinger -- 11. Breaking Of Solutions Of Wave Equations -- A Auxiliary And Additional Results -- Bibliography -- Index. |
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| indexdate | 2024-11-27T13:29:05Z |
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| series2 | De Gruyter series in nonlinear analysis and applications ; |
| spelling | Korpusov, M. O., author. Blow-up in nonlinear equations of mathematical physics : theory and methods / Maxim Olegovich Korpusov [and three others]. Berlin ; Boston : De Gruyter, [2018] 1 online resource text txt rdacontent computer n rdamedia online resource nc rdacarrier De Gruyter series in nonlinear analysis and applications ; volume 27 Includes bibliographical references and index. Frontmatter -- Contents -- Introduction -- Notation -- List Of Nonlinear Equations -- 1. Nonlinear Capacity Method Of S.I. Pokhozhaev -- 2. Method Of Self-Similar Solutions Of V.A. Galaktionov -- 3. Method Of Test Functions In Combination With Method Of Nonlinear Capacity -- 4. Energy Method Of H.A. Levine -- 5. Energy Method Of G. Todorova -- 6. Energy Method Of S.I. Pokhozhaev -- 7. Energy Method Of V.K. Kalantarov And O.A. Ladyzhenskaya -- 8. Energy Method Of M.O. Korpusov And A.G. Sveshnikov -- 9. Nonlinear Schrödinger Equation -- 10. Variational Method Of L.E. Payne And D.H. Sattinger -- 11. Breaking Of Solutions Of Wave Equations -- A Auxiliary And Additional Results -- Bibliography -- Index. The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations of mathematical physics. The included material is based on lectures read by the authors at the Lomonosov Moscow State University, and the book is addressed to a wide range of researchers and graduate students working in nonlinear partial differential equations, nonlinear functional analysis, and mathematical physics. ContentsNonlinear capacity method of S.I. PokhozhaevMethod of self-similar solutions of V.A. GalaktionovMethod of test functions in combination with method of nonlinear capacityEnergy method of H.A. LevineEnergy method of G. TodorovaEnergy method of S.I. PokhozhaevEnergy method of V.K. Kalantarov and O.A. LadyzhenskayaEnergy method of M.O. Korpusov and A.G. SveshnikovNonlinear Schrödinger equationVariational method of L.E. Payne and D.H. SattingerBreaking of solutions of wave equationsAuxiliary and additional results. Online resource; title from digital title page (viewed on October 03, 2018). Differential equations, Partial Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037915 Équations aux dérivées partielles Solutions numériques. SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh Differential equations, Partial Numerical solutions fast Electronic book. has work: Blow-up in nonlinear equations of mathematical physics (Text) https://id.oclc.org/worldcat/entity/E39PCGBf34GMGPptHYgj7GCTQC https://id.oclc.org/worldcat/ontology/hasWork Print version: Blow-up in nonlinear equations of mathematical physics. Berlin ; Boston : De Gruyter, [2018] 9783110601084 De Gruyter series in nonlinear analysis and applications ; 27. http://id.loc.gov/authorities/names/n92047842 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1893721 Volltext |
| spellingShingle | Korpusov, M. O. Blow-up in nonlinear equations of mathematical physics : theory and methods / De Gruyter series in nonlinear analysis and applications ; Frontmatter -- Contents -- Introduction -- Notation -- List Of Nonlinear Equations -- 1. Nonlinear Capacity Method Of S.I. Pokhozhaev -- 2. Method Of Self-Similar Solutions Of V.A. Galaktionov -- 3. Method Of Test Functions In Combination With Method Of Nonlinear Capacity -- 4. Energy Method Of H.A. Levine -- 5. Energy Method Of G. Todorova -- 6. Energy Method Of S.I. Pokhozhaev -- 7. Energy Method Of V.K. Kalantarov And O.A. Ladyzhenskaya -- 8. Energy Method Of M.O. Korpusov And A.G. Sveshnikov -- 9. Nonlinear Schrödinger Equation -- 10. Variational Method Of L.E. Payne And D.H. Sattinger -- 11. Breaking Of Solutions Of Wave Equations -- A Auxiliary And Additional Results -- Bibliography -- Index. Differential equations, Partial Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037915 Équations aux dérivées partielles Solutions numériques. SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh Differential equations, Partial Numerical solutions fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037915 |
| title | Blow-up in nonlinear equations of mathematical physics : theory and methods / |
| title_alt | Frontmatter -- Contents -- Introduction -- Notation -- List Of Nonlinear Equations -- 1. Nonlinear Capacity Method Of S.I. Pokhozhaev -- 2. Method Of Self-Similar Solutions Of V.A. Galaktionov -- 3. Method Of Test Functions In Combination With Method Of Nonlinear Capacity -- 4. Energy Method Of H.A. Levine -- 5. Energy Method Of G. Todorova -- 6. Energy Method Of S.I. Pokhozhaev -- 7. Energy Method Of V.K. Kalantarov And O.A. Ladyzhenskaya -- 8. Energy Method Of M.O. Korpusov And A.G. Sveshnikov -- 9. Nonlinear Schrödinger Equation -- 10. Variational Method Of L.E. Payne And D.H. Sattinger -- 11. Breaking Of Solutions Of Wave Equations -- A Auxiliary And Additional Results -- Bibliography -- Index. |
| title_auth | Blow-up in nonlinear equations of mathematical physics : theory and methods / |
| title_exact_search | Blow-up in nonlinear equations of mathematical physics : theory and methods / |
| title_full | Blow-up in nonlinear equations of mathematical physics : theory and methods / Maxim Olegovich Korpusov [and three others]. |
| title_fullStr | Blow-up in nonlinear equations of mathematical physics : theory and methods / Maxim Olegovich Korpusov [and three others]. |
| title_full_unstemmed | Blow-up in nonlinear equations of mathematical physics : theory and methods / Maxim Olegovich Korpusov [and three others]. |
| title_short | Blow-up in nonlinear equations of mathematical physics : |
| title_sort | blow up in nonlinear equations of mathematical physics theory and methods |
| title_sub | theory and methods / |
| topic | Differential equations, Partial Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037915 Équations aux dérivées partielles Solutions numériques. SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh Differential equations, Partial Numerical solutions fast |
| topic_facet | Differential equations, Partial Numerical solutions. Équations aux dérivées partielles Solutions numériques. SCIENCE Energy. SCIENCE Mechanics General. SCIENCE Physics General. Differential equations, Partial Numerical solutions Electronic book. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1893721 |
| work_keys_str_mv | AT korpusovmo blowupinnonlinearequationsofmathematicalphysicstheoryandmethods |