Movatterモバイル変換


[0]ホーム

URL:


×

zbMATH Open — the first resource for mathematics

from until
Reset all

Examples

GeometrySearch for the termGeometry inany field. Queries arecase-independent.
Funct*Wildcard queries are specified by* (e .g.functions,functorial, etc.). Otherwise the search isexact.''Topological group'':Phrases (multi - words) should be set in''straight quotation marks''.
au: Bourbaki & ti: AlgebraSearch forauthorBourbaki andtitleAlgebra. Theand-operator & is default and can be omitted.
Chebyshev | TschebyscheffTheor-operator| allows to search forChebyshev orTschebyscheff.
Quasi* map* py: 1989The resulting documents havepublicationyear1989.
so:Eur* J* Mat* Soc* cc:14Search for publications in a particularsource with aMathematics SubjectClassificationcode in14.
cc:*35 ! any:ellipticSearch for documents about PDEs (prefix with * to search only primary MSC); the not-operator ! eliminates all results containing the wordelliptic.
dt: b & au: HilbertThedocumenttype is set tobooks; alternatively:j forjournal articles,a forbookarticles.
py: 2000 - 2015 cc:(94A | 11T)Numberranges when searching forpublicationyear are accepted . Terms can be grouped within( parentheses).
la: chineseFind documents in a givenlanguage .ISO 639 - 1 (opens in new tab) language codes can also be used.
st: c r sFind documents that arecited, havereferences and are from asingle author.

Fields

ab Text from the summary or review (for phrases use “. ..”)
an zbMATH ID, i.e.: preliminary ID, Zbl number, JFM number, ERAM number
any Includes ab, au, cc, en, rv, so, ti, ut
arxiv arXiv preprint number
au Name(s) of the contributor(s)
br Name of a person with biographic references (to find documents about the life or work)
cc Code from the Mathematics Subject Classification (prefix with* to search only primary MSC)
ci zbMATH ID of a document cited in summary or review
db Database: documents in Zentralblatt für Mathematik/zbMATH Open (db:Zbl), Jahrbuch über die Fortschritte der Mathematik (db:JFM), Crelle's Journal (db:eram), arXiv (db:arxiv)
dt Type of the document: journal article (dt:j), collection article (dt:a), book (dt:b)
doi Digital Object Identifier (DOI)
ed Name of the editor of a book or special issue
en External document ID: DOI, arXiv ID, ISBN, and others
in zbMATH ID of the corresponding issue
la Language (use name, e.g.,la:French, orISO 639-1, e.g.,la:FR)
li External link (URL)
na Number of authors of the document in question. Interval search with “-”
pt Reviewing state: Reviewed (pt:r), Title Only (pt:t), Pending (pt:p), Scanned Review (pt:s)
pu Name of the publisher
py Year of publication. Interval search with “-”
rft Text from the references of a document (for phrases use “...”)
rn Reviewer ID
rv Name or ID of the reviewer
se Serial ID
si swMATH ID of software referred to in a document
so Bibliographical source, e.g., serial title, volume/issue number, page range, year of publication, ISBN, etc.
st State: is cited (st:c), has references (st:r), has single author (st:s)
sw Name of software referred to in a document
ti Title of the document
ut Keywords

Operators

a & bLogical and (default)
a | bLogical or
!abLogical not
abc*Right wildcard
ab cPhrase
(ab c)Term grouping

See also ourGeneral Help.

On the stability of waves of nonlinear parabolic systems.(English)Zbl 0344.35051


MSC:

35K55 Nonlinear parabolic equations
35B99 Qualitative properties of solutions to partial differential equations
35B35 Stability in context of PDEs

Cite

References:

[1]H. Cohen;H. Cohen
[2]Kolmogorov, A.; Petrovsky, I.; Piskunov, N., Étude de l’équation de la chaleur avec croissance… et son application à un probléme biologique, Bull. Univ. État Moscou, 6, 1-25 (1937) ·Zbl 0018.32106
[3]Peletier, L. A., Asymptotic stability of traveling waves, (Instability of Continuous Systems. Instability of Continuous Systems, IUTAM Symposium (1969)), 418-422 ·Zbl 0232.76024
[4]McKean, H. P., Nagumo’s equation, Advances in Math., 4, 209-223 (1970) ·Zbl 0202.16203
[5]Lax, P., Nonlinear Partial Differential Equations of Evolution, (Congrés International des Mathematiciens. Congrés International des Mathematiciens, Nice (September 1970)), 831-840 ·Zbl 1216.16010
[6]Evans, J. W., Nerve axon equations, I: Linear approximations, Indiana Univ. Math. J., 21, 877-885 (1972) ·Zbl 0235.92002
[7]Hodgkin, A. L.; Huxley, A. F., A quantitative description of membrane current and its application to conduction and excitation in nerves, J. Physiol., 117, 500-544 (1952)
[8]Oleinik, O. A.; Kruzhkov, S. N., Russian Math. Surveys, 16, 105ff (1961)
[9]Conley, C. C.; Smoller, J., Shock Waves as limits of progressive wave solutions of higher order equations, Comm. Pure Appl. Math., 24 (1971) ·Zbl 0233.35063
[10]Coddington, E. A.; Levinson, N., Ordinary Differential Equations (1955), McGraw-Hill: McGraw-Hill New York ·Zbl 0042.32602
[11]Jeffrey, A.; Kakutani, T., Stability of the Burgers shock wave and the Kortewegde Vries soliton, Indiana Univ. Math. J., 20, 463-469 (1970) ·Zbl 0206.11102
[12]Evans, J. W., Nerve axon equations, II: Stability at rest, Indiana Univ. Math. J., 22, 75-90 (1972) ·Zbl 0236.92010
[13]Evans, J. W., Nerve axon equations, III: Stability of the nerve impulse, Indiana Univ. Math. J., 22, 577-593 (1972) ·Zbl 0245.92004
[14]D. H. Sattinger;D. H. Sattinger ·Zbl 0248.35003
[15]Protter, M. H.; Weinberger, H. F., Maximum Principles in Differential Equations (1967), Prentice-Hall: Prentice-Hall Englewood Cliffs, N.J ·Zbl 0153.13602
[16]Kanel, Ja. I., On the stability of solutions of the Cauchy problem for equations occurring in the theory of combustion, Mat. Sb., 59, 245-288 (1962) ·Zbl 0152.10302
[17]Kanel, Ja. I., On the stability of solutions of the equations of the theory of combustion for finite initial functions, Mat. Sb., 65, 398-413 (1964) ·Zbl 0168.36301
[18]Kanel, Ja. I., The behavior of solutions of the Cauchy problem when the time tends to infinity, in the case of quasilinear equations arising in the theory of combustion, DAN SSSR, 132, 268-271 (1960) ·Zbl 0152.10301
[19]Kanel, Ja. I., Some problems involving burning-theory equations, DAN SSSR, 136, 277-280 (1961) ·Zbl 0138.35103
[20]Gelfand, I. M., Some problems in the theory of quasilinear equations, Amer. Math. Soc. Transl., 29, 295-381 (1963) ·Zbl 0127.04901
[21]Protter, M. H.; Weinberger, H. F., On the spectrum of general second order operators, Bull. Amer. Math. Soc., 72, 251-255 (1966) ·Zbl 0141.09901
[22]Dunford, N.; Schwartz, J. T., (Linear Operators, Vol. I (1958), Interscience: Interscience New York) ·Zbl 0084.10402
[23]Riesz, F.; Sz.-Nagy, B., Functional Analysis (1955), Ungar: Ungar New York
[24]F. Hoppenstead;F. Hoppenstead
[25]Sattinger, D. H., Stability of Traveling Waves of Nonlinear Parabolic Equations, (Seventh International Conference on Nonlinear Oscillations. Seventh International Conference on Nonlinear Oscillations, East Berlin (1975)) ·Zbl 0359.35038
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
© 2025FIZ Karlsruhe GmbHPrivacy PolicyLegal NoticesTerms & Conditions
  • Mastodon logo
 (opens in new tab)

[8]ページ先頭

©2009-2025 Movatter.jp