1 |
ACTA APPLICANDAE MATHEMATICAE |
2012 |
1 |
DISCRETE AND CONTINUOUS DYNAMICAL
SYSTEMS-SERIES S |
2012 |
2 |
JOURNAL OF NONLINEAR MATHEMATICAL
PHYSICS |
2012, 2005 |
1 |
QUARTERLY OF APPLIED MATHEMATICS |
2011 |
2 |
JOURNAL OF MATHEMATICAL PHYSICS |
2011, 2009 |
1 |
APPLICABLE ANALYSIS |
2011 |
1 |
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS |
2011 |
1 |
BOLLETINO DELL UNIONE MATEMATICA
ITALIANA |
2010 |
1 |
COMMUNICATIONS ON PURE AND APPLIED
ANALYSIS |
2010 |
3 |
JOURNAL OF MATHEMATICAL ANALYSIS AND
APPLICATIONS |
2005, 2000 (2) |
1 |
QUARTERLY JOURNAL OF MECHANICS AND
APPLIED MATHEMATICS |
2004 |
1 |
NONLINEAR ANALYSIS-THEORY METHODS &
APPLICATIONS |
2001 |
ISI indexed (ARTICLE ONLY) |
15 |
Scopus indexed (ARTICLE ONLY) |
14 |
Scopus indexed: |
14+3 |
paper in not indexed Int. Journal |
1 |
paper in Int. Book of invited papers |
2+1 |
paper in Int. Conference Proceedings Book |
1 |
s2.0-84859555221 Amendola, G., Carillo, S., Manes, A. Classical free energies of a heat conductor with memory and the minimum free energy for its discrete spectrum model (2010) Bolletino dell Unione Matematica Italiana, 3 (3), pp. 421-446. Cited 1 time.
2-s2.0-84864460067
Carillo, S., Valente, V., Caffarelli, G.V.
An existence theorem for the magneto-viscoelastic problem
(2012) Discrete and Continuous Dynamical Systems - Series S, 5 (3), pp. 435-447.
15 ARTICLE FILED IN SCOPUS AND/OR WEB OF SCIENCE
In Scopus there are 14 ARTICLES of mine (2002-2012)+ 1 in Web of Science of them appear in both the databases.
Scopus (ONLY DOCUMENT TYPE: Article) EXPORT DATE:08 Feb 2017
1) Carillo, S., Valente, V., Caffarelli, G.V.
An existence theorem for the magneto-viscoelastic problem
(2012) Discrete and Continuous Dynamical Systems - Series S, 5 (3), pp. 435-447. Cited 6 times.
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84864460067&doi=10.3934%2fdcdss.2012.5.435&partnerID=40&md5=b1e607385bf0e1480514d900cc126fc9
DOI: 10.3934/dcdss.2012.5.435
DOCUMENT TYPE: Article
SOURCE: Scopus
2) Carillo, S., Schiebold, C.
On the recursion operator for the noncommutative burgers hierarchy
(2012) Journal of Nonlinear Mathematical Physics, 19 (1), art. no. 1250003, . Cited 3 times.
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84858822229&doi=10.1142%2fS1402925112500039&partnerID=40&md5=15043020d4969e89dccca5c64a31ce99
DOI: 10.1142/S1402925112500039
DOCUMENT TYPE: Article
SOURCE: Scopus
3) Carillo, S., Valente, V., Vergara Caffarelli, G.
A result of existence and uniqueness for an integro-differential system in magneto-viscoelasticity
(2011) Applicable Analysis, 90 (12), pp. 1791-1802. Cited 4 times.
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84857741355&doi=10.1080%2f00036811003735832&partnerID=40&md5=236fb6d8a37eddc4175565febbb4886e
DOI: 10.1080/00036811003735832
DOCUMENT TYPE: Article
SOURCE: Scopus
4) Carillo, S.
Existence, uniqueness and exponential decay: An evolution problem in heat conduction with memory
(2011) Quarterly of Applied Mathematics, 69 (4), pp. 635-649. Cited 3 times.
https://www.scopus.com/inward/record.uri?eid=2-s2.0-81155130526&doi=10.1090%2fS0033-569X-2011-01223-1&partnerID=40&md5=ee6129394da0b8035dfc80a9a56d7611
DOI: 10.1090/S0033-569X-2011-01223-1
DOCUMENT TYPE: Article
SOURCE: Scopus
5) Carillo, S., Schiebold, C.
Matrix Korteweg-de Vries and modified Korteweg-de Vries hierarchies: Noncommutative soliton solutions
(2011) Journal of Mathematical Physics, 52 (5), art. no. 053507, . Cited 6 times.
https://www.scopus.com/inward/record.uri?eid=2-s2.0-79957899011&doi=10.1063%2f1.3576185&partnerID=40&md5=cb194c66d4e79419d0653cdfdf5357ad
DOI: 10.1063/1.3576185
DOCUMENT TYPE: Article
SOURCE: Scopus
6) Carillo, S.
An evolution problem in materials with fading memory: Solution's existence and uniqueness
(2011) Complex Variables and Elliptic Equations, 56 (5), pp. 481-492. Cited 3 times.
https://www.scopus.com/inward/record.uri?eid=2-s2.0-79956134379&doi=10.1080%2f17476931003786667&partnerID=40&md5=b2cab3c4e834430e76946846d8876c81
DOI: 10.1080/17476931003786667
DOCUMENT TYPE: Article
SOURCE: Scopus
7) Amendola, G., Carillo, S., Manes, A.
Classical free energies of a heat conductor with memory and the minimum free energy for its discrete spectrum model
(2010) Bolletino dell Unione Matematica Italiana, 3 (3), pp. 421-446. Cited 1 time.
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84859555221&partnerID=40&md5=b30217cae8fc393da366a0465b20c47d
DOCUMENT TYPE: Article
SOURCE: Scopus
8) Carillo, S., Schiebold, C.
Noncommutative Korteweg-de Vries and modified Korteweg-de Vries hierarchies via recursion methods
(2009) Journal of Mathematical Physics, 50 (7), art. no. 073510, . Cited 12 times.
https://www.scopus.com/inward/record.uri?eid=2-s2.0-68749111018&doi=10.1063%2f1.3155080&partnerID=40&md5=10da9fcf88335c3fe737003ac7bb7781
DOI: 10.1063/1.3155080
DOCUMENT TYPE: Article
SOURCE: Scopus
9) Carillo, S., Chipot, M., Vergara Caffarelli, G.
The N-membrane problem with nonlocal constraints
(2005) Journal of Mathematical Analysis and Applications, 308 (1), pp. 129-139. Cited 3 times.
https://www.scopus.com/inward/record.uri?eid=2-s2.0-19044378965&doi=10.1016%2fj.jmaa.2004.11.024&partnerID=40&md5=c8daa1727c7648cce9f6ec69a389dec0
DOI: 10.1016/j.jmaa.2004.11.024
DOCUMENT TYPE: Article
SOURCE: Scopus
10) Carillo, S.
Some remarks on materials with memory: Heat conduction and viscoelasticity
(2005) Journal of Nonlinear Mathematical Physics, 12 (SUPPL. 1), pp. 163-178. Cited 14 times.
https://www.scopus.com/inward/record.uri?eid=2-s2.0-30444443795&partnerID=40&md5=0a8d7fd974a41d93643986f8aa5ccaa1
DOCUMENT TYPE: Article
SOURCE: Scopus
11) Amendola, G., Carillo, S.
Thermal work and minimum free energy in a heat conductor with memory
(2004) Quarterly Journal of Mechanics and Applied Mathematics, 57 (3), pp. 429-446. Cited 17 times.
https://www.scopus.com/inward/record.uri?eid=2-s2.0-4444342069&doi=10.1093%2fqjmam%2f57.3.429&partnerID=40&md5=2949ee1bd8d1b5c0bf4d3d6e71ac0983
DOI: 10.1093/qjmam/57.3.429
DOCUMENT TYPE: Article
SOURCE: Scopus
12) Carillo, S.
Variational setting of a nonlinear interaction problem
(2001) Nonlinear Analysis, Theory, Methods and Applications, 47 (1), pp. 447-456.
https://www.scopus.com/inward/record.uri?eid=2-s2.0-0035421658&doi=10.1016%2fS0362-546X%2801%2900190-0&partnerID=40&md5=c4b6c809fabcf094bfe10e2f2a31e7b4
DOI: 10.1016/S0362-546X(01)00190-0
DOCUMENT TYPE: Article
SOURCE: Scopus
13) Carillo, S.
A novel BŠcklund invariance of a nonlinear differential equation
(2000) Journal of Mathematical Analysis and Applications, 252 (2), pp. 828-839.
https://www.scopus.com/inward/record.uri?eid=2-s2.0-0034670489&partnerID=40&md5=5b3f2bdd034db432099f4aa1747a0c1f
DOCUMENT TYPE: Article
SOURCE: Scopus
14) Carillo, S., Podio-Guidugli, P., Caffarelli, G.V.
Energy estimates in hierarchical plate theories
(2000) Journal of Mathematical Analysis and Applications, 248 (1), pp. 216-232. Cited 4 times.
https://www.scopus.com/inward/record.uri?eid=2-s2.0-0034238590&partnerID=40&md5=fe70e15199f51fad457f2092f6aa3ca7
DOCUMENT TYPE: Article
SOURCE: Scopus
SELECTING ARTICLE-TYPE YEARS 2000-2012: THE FOLLOWING 15 RESULTS ARE OBTAINED.
NOTE THAT 1) WHICH DOES NOT APPEAR AS ARTICLE IN SCOPUS IS FILED AS ARTICLE IN WEB OF SCIENCE
HENCE THE NUMBER OF SANDRA CARILLO ARTICLES 2000-2012 IS 15
By:Carillo, S (Carillo, Sandra)[ 1 ]
Hide ResearcherID and ORCIDAuthor | ResearcherID | ORCID Number |
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http://orcid.org/0000-0001-9260-1839 |
Volume:
Issue:
Pages:
Special Issue:
DOI:
Published:
Backlund Charts have been introduced to depict links, via Backlund Transformations, which relate different Nonlinear Evolution Equations. Notably, the links established among different Nonlinear Evolution Equations can be extended to the whole Hierarchies of Nonlinear Evolution Equations. This approach proved to be very fruitful, as well known, when applied to scalar Nonlinear Evolution Equations since it induces very many interesting results. Some of them are here reviewed and further new research perspectives are shown. Specifically, when the non commutative analogue Nonlinear Evolution Equations are introduced new problems arise. Here, hierarchies of non-commutative Nonlinear Evolution Equations together with their links via Backlund Transformations are considered. Specifically, a non-commutative analogues of Cole-Hopf and of Miura transformation are shown, respectively, to connect the operator versions of Burgers equation to heat equation and the operator version of KdV equation to the corresponding operator version of modified KdV equation. Again, the links are connecting not only the base member equations but all the corresponding equations in the hierarchy generated by the recursion operator it admits. Finally, it is pointed out how the method here presented allows to construct new non-commutative operator equation.
Author Keywords:Backlund transformations; Backlund chart; Non-commutative evolution equations; Hierarchies of non-commutative evolution equations
KeyWords Plus:SQUARED EIGENFUNCTION SYMMETRIES; SOLITON-EQUATIONS; HEREDITARY SYMMETRIES; BURGERS EQUATIONS; OPERATOR IDEALS; HIERARCHIES; KDV
Reprint Address: Carillo, S (reprint author)
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Univ Roma La Sapienza, Dipartimento Sci Base & Applicate Ingn, Sez Matemat, 16 Via A Scarpa, Rome, Italy. |
Addresses:
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[ 1 ] Univ Roma La Sapienza, Dipartimento Sci Base & Applicate Ingn, Sez Matemat, Rome, Italy |
E-mail Addresses:sandra.carillo@uniroma1.it
Funding Agency | Grant Number |
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G.N.F.M.-I.N.d.A.M. | |
SAPIENZA Universita di Roma |
Research Areas:Mathematics
Web of Science Categories:Mathematics, Applied
Document Type:Article
Language:English
Accession Number:
ISSN:
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