Blow-Up in Nonlinear Equations of Mathematical Physics : : Theory and Methods / / Maxim Olegovich Korpusov, Alexey Vital'evich Ovchinnikov, Alexey Georgievich Sveshnikov, Egor Vladislavovich Yushkov.
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...
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| Year of Publication: | 2018 |
| Language: | English |
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Korpusov, Maxim Olegovich, author. aut http://id.loc.gov/vocabulary/relators/aut Blow-Up in Nonlinear Equations of Mathematical Physics : Theory and Methods / Maxim Olegovich Korpusov, Alexey Vital'evich Ovchinnikov, Alexey Georgievich Sveshnikov, Egor Vladislavovich Yushkov. Berlin ; Boston : De Gruyter, [2018] ©2018 1 online resource (XVIII, 326 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Series in Nonlinear Analysis and Applications , 0941-813X ; 27 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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 Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Differential equations, Partial Numerical solutions. Aufblasung. Mathematische Physik. Nichtlineare partielle Differentialgleichung. MATHEMATICS / Differential Equations / Partial. bisacsh Ovchinnikov, Alexey Vital'evich, author. aut http://id.loc.gov/vocabulary/relators/aut Sveshnikov, Alexey Georgievich, author. aut http://id.loc.gov/vocabulary/relators/aut Yushkov, Egor Vladislavovich, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 9783110762488 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 9783110719550 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English 9783110604252 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 9783110603255 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English 9783110604191 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 9783110603194 ZDB-23-DMA EPUB 9783110599008 print 9783110601084 https://doi.org/10.1515/9783110602074 https://www.degruyter.com/isbn/9783110602074 Cover https://www.degruyter.com/document/cover/isbn/9783110602074/original |
| language |
English |
| format |
eBook |
| author |
Korpusov, Maxim Olegovich, Korpusov, Maxim Olegovich, Ovchinnikov, Alexey Vital'evich, Sveshnikov, Alexey Georgievich, Yushkov, Egor Vladislavovich, |
| spellingShingle |
Korpusov, Maxim Olegovich, Korpusov, Maxim Olegovich, Ovchinnikov, Alexey Vital'evich, Sveshnikov, Alexey Georgievich, Yushkov, Egor Vladislavovich, 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 |
| author_facet |
Korpusov, Maxim Olegovich, Korpusov, Maxim Olegovich, Ovchinnikov, Alexey Vital'evich, Sveshnikov, Alexey Georgievich, Yushkov, Egor Vladislavovich, Ovchinnikov, Alexey Vital'evich, Ovchinnikov, Alexey Vital'evich, Sveshnikov, Alexey Georgievich, Sveshnikov, Alexey Georgievich, Yushkov, Egor Vladislavovich, Yushkov, Egor Vladislavovich, |
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m o k mo mok m o k mo mok a v o av avo a g s ag ags e v y ev evy |
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| author2 |
Ovchinnikov, Alexey Vital'evich, Ovchinnikov, Alexey Vital'evich, Sveshnikov, Alexey Georgievich, Sveshnikov, Alexey Georgievich, Yushkov, Egor Vladislavovich, Yushkov, Egor Vladislavovich, |
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VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
| author_sort |
Korpusov, Maxim Olegovich, |
| title |
Blow-Up in Nonlinear Equations of Mathematical Physics : Theory and Methods / |
| title_sub |
Theory and Methods / |
| title_full |
Blow-Up in Nonlinear Equations of Mathematical Physics : Theory and Methods / Maxim Olegovich Korpusov, Alexey Vital'evich Ovchinnikov, Alexey Georgievich Sveshnikov, Egor Vladislavovich Yushkov. |
| title_fullStr |
Blow-Up in Nonlinear Equations of Mathematical Physics : Theory and Methods / Maxim Olegovich Korpusov, Alexey Vital'evich Ovchinnikov, Alexey Georgievich Sveshnikov, Egor Vladislavovich Yushkov. |
| title_full_unstemmed |
Blow-Up in Nonlinear Equations of Mathematical Physics : Theory and Methods / Maxim Olegovich Korpusov, Alexey Vital'evich Ovchinnikov, Alexey Georgievich Sveshnikov, Egor Vladislavovich Yushkov. |
| title_auth |
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_new |
Blow-Up in Nonlinear Equations of Mathematical Physics : |
| title_sort |
blow-up in nonlinear equations of mathematical physics : theory and methods / |
| series |
De Gruyter Series in Nonlinear Analysis and Applications , |
| series2 |
De Gruyter Series in Nonlinear Analysis and Applications , |
| publisher |
De Gruyter, |
| publishDate |
2018 |
| physical |
1 online resource (XVIII, 326 p.) Issued also in print. |
| 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 |
| isbn |
9783110602074 9783110762488 9783110719550 9783110604252 9783110603255 9783110604191 9783110603194 9783110599008 9783110601084 |
| issn |
0941-813X ; |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA374 |
| callnumber-sort |
QA 3374 |
| url |
https://doi.org/10.1515/9783110602074 https://www.degruyter.com/isbn/9783110602074 https://www.degruyter.com/document/cover/isbn/9783110602074/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
530 - Physics |
| dewey-ones |
530 - Physics |
| dewey-full |
530.15/5353 |
| dewey-sort |
3530.15 45353 |
| dewey-raw |
530.15/5353 |
| dewey-search |
530.15/5353 |
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10.1515/9783110602074 |
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1048661733 |
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Blow-Up in Nonlinear Equations of Mathematical Physics : Theory and Methods / |
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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. 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