Scheda docente


Maria Alessandra RAGUSA

Ruolo: Ordinario
Settore Scientifico Disciplinare: MAT/05 - ANALISI MATEMATICA
Sede: SEDI DI CATANIA V.le A. Doria, 6
Ufficio: Viale Andrea Doria, 6
Telefono: +390957383060
Fax: +390957337906
E-mail: maragusa@dmi.unict.it
Orario di ricevimento: mercoledi 11-14, martedi e giovedi 16-18
Sito web: Link


    • Descrizione:

      Aim of the research are existence, unicity and regularity results for solutions linear and quasilinear partial differential equations of elliptic, parabolic and ultraparabolic type.

      She is also interested in regularity of local minimizers of variational integrals. Moreover, some other informations concerning her scientific activity.

      • She is member of the "Conference Secretariat" of the international conference "Boundary value problems for elliptic and parabolic operators" held in Catania, 12 to 14 November 1998.

      • Directs the section "Linear Partial Differential Equations" at the international conference "Eleventh International Colloquium on Differential Equations", Plovdiv (Bulgaria), 18 to 23 August 2000.

      • Organize the following scientific conferences, in collaboration with Italian and foreign colleagues:
        
National Conference co-financed by MURST titled "Symmetries, Geometric Structures, Evolution and Memory in PDEs", Taormina 7 to 9 February 2001;
        
International Conference "Fabes-Chiarenza Lectures 2002", Syracuse 2 to 4 December 2002.

        Conference: "Partial differential equations and control theory", Catania May 3, 2003;
        
Conference co-PRIN 2003: "Partial differential equations: methodological aspects, modeling, applications," Ragusa Ibla, 29 June-2 July 2005.

      • Organize the following sections of conferences, in collaboration with Italian and foreign colleagues:
        
"Minisymposium on Variational Inequalities and Equilibrium Problems" at the international conference "International Conference of Numerical Analysis and Applied Mathematics 2009 (ICNAAM 2010)," Rhodes 19 to 25 September 2010;

        "3nd symposium on variational inequalities and equilibrium problems", at the international conference "International Conference of Numerical Analysis and Applied Mathematics 2009 (ICNAAM 2011)", Halkidiki (Greece) 19 to 25 September 2011;

        "Operator Theory: Advances and Applications" at the international conference '"International Conference of the Theory, Methods and Applications on Nonlinear Equations", Texas A & M University, Kingsville (USA), December 17-21, 2012;
        "Fourth Minisymposium on Variational Inequalities and Equilibrium Problems" at the conference  "International Conference of Numerical Analysis and Applied Mathematics 2009 (ICNAAM 2013)", Rhodos (Greece) September  21-27, 2013;
        “Function Spaces, Interpolation Theory, Fourier Analysis, PDE, Inequalities, Homogenization Theory and applications” at the international conference “ICNPAA 2014: Mathematical Problems in Engineering, Aerospace and Sciences”, Narvik (Norway), July15-18, 2014. 

      • She hold PhD Courses and several invitation lectures, which are listed briefly below.

      • International conference "Eight International Colloquium on Differential Equations" held in Plovdiv, Bulgaria, from 18 to 23 August 1997 (one-hour conference) entitled "Dirichlet problem in Morrey spaces for elliptic equations in nondivergence form with VMO coefficients".
      • International conference "Nineth International Colloquium on Differential Equations" held in Plovdiv, Bulgaria, from 18 to 23 August 1998 (one-hour conference) entitled: "Regularity of the first derivatives of the solutions of a class of linear elliptic equations of second order with discontinuous coefficients ".

      • International conference "Nineth International Colloquium on Differential Equations", a second Invited lecture (one hour conference) titled "Oblique derivative problem in Morrey spaces".

      • Gives a lecture entitled: "Well-posedness of a Dirichlet problem for a uniformly elliptic operator", July 29, 1999, at the University of Cologne in Germany,
 http://www.mi.uni-koeln.de/mi/Forschung/ Kawohl/terminuebersicht.html.

      • Is invited to hold at the international conference "Tenth International Colloquium on Differential Equations" held in Plovdiv, Bulgaria, from 18 to 23 August 1999 (one-hour conference) entitled: "On the L^p estimates for the weak solution of divergence form elliptic equations ".

      • Is invited to give to the world conference "World Conference on Nonlinear Analysts 2000", held in Catania in July 2000 a communication entitled "On weak solutions of equations ultraparabolic."

      • International conference "Eleventh International Colloquium on Differential Equations" held in Plovdiv, Bulgaria, from  18 to 23 August 2000 (one-hour conference) entitled: "Regularity theory associated to operators with non-Euclidean geometry ".

      • Hold a conference entitled: "On second order hypoelliptic differential operators" at the national convention co-financed by MURST titled "Symmetries, Geometric Structures, Evolution and Memory in PDEs" held in Taormina 7 to 9 February 2001.

      • In February 2001, as a guest for a research stay at the Newton Institute in Cambridge, a conference held there by invitation, entitled "On a class of operators of Kolmogorov-Fokker-Planck" http://www.newton.cam.uk/programs/NPD/npdshrtv.html.

      • Is invited for a period of study at the Research Center of Mathematics "Ennio De Giorgi" - at the Scuola Normale Superiore in Pisa during the' "Intensive Research Period on Geometric Analysis" in November 2003, and gave a lecture entitled " Some variational and nonvariational problems related to linear partial differential equations ".

      • Is invited by Angelo Alvino, Vincenzo Ferone, Giorgio Talenti and Guido Trombetti to give a lecture entitled: "On certain integrals of the calculus of variations," at the national convention, "Theoretical aspects and applications of partial differential equations", Maiori (SA) 21-24 April 2004.

      • Is hosted for a research period of Atsushi Tachikawa from the University di Tokyo in June 2004 at the Department of Mathematics of the Tokyo University of Science, and having held, June 21, 2004, a conference entitled: "On the minimum of some variational integrals".

      • Is invited to hold, at the international conference: "Variational Problems and Related Topics", held at the Research Center "Research Institute of Mathematical Science" of Kyoto, in June 2004, a conference entitled "Regularity results for nonlinear elliptic equations and systems ".

      • Held a lecture during the '"International Conference on Elliptic and Parabolics Problems", Cagliari 24- September 25, 2004, entitled: "On the regularity of weak solutions to linear and nonlinear equations and systems".

      • Is invited to give a lecture at the international conference "5th ISAAC Congress" in the session "Partial Differential Equations", Catania 25 to 30 July 2005, entitled "Recent trends on some vector valued minimizers".

      • Invited by Ermanno Lanconelli, Annamaria Montanari and Sergio Polidoro gave a lecture (45 minutes talk) entitled: "On a class of hypoelliptic differential operators" during the "Meeting on Subelliptic PDE and Applications to Geometry and Finance" held in Cortona, 12 to 17 June 2006.

      • It has, by invitation, at the International Symposium "Problems Current Analysis and Mathematical Physics" dedicated to the memory of Gaetano Fichera required to Taormina from 29 June to 2 July 2006, a conference entitled: "Regularity for a class of elliptic systems ".

      • Is invited to the conference "Nolinear PDE and application - In occasion of Francesco Nicolosi's 70th birthday", Catania, 22 to 25 June 2009, to give a lecture entitled: "Current topics in Homogeneous Herz spaces and Their Applications".

      • Is invited, during the "International Conference of Numerical Analysis and Applied Mathematics 2009 (ICNAAM 2009)" in Crete (Greece) 18 to 22 September 2009, to give a lecture entitled "Recent advances in the calculus of variations and PDE'S" .

      • Held a lecture during CIRO'10, The Fifth International Conference on Operations Research ", Marrakech (Morocco), 24 to 27 May 2010, entitled:" Recent development of the minimum of variational integrals. "

      • Is invited, during the conference "SIMAI 2010, Joint SIMAI / SEMA Conference on Applied and Industrial Mathematics", Cagliari, 21 to 25 June 2010, to give a lecture entitled "On differentiability on the minimum of nondifferentiable functionals."

      • During the "International Conference of Numerical Analysis and Applied Mathematics 2010 (ICNAAM 2010)" in: "2nd symposium on variational inequalities and equilibrium problems", Rhodes (Greece) 19 to 25 September 2010, gave a lecture entitled: "Parabolic Herz spaces and Their Applications ".

      • As part of the '"Erasmus Inter-Istitutionnel Accord", signed by the University of Catania and the Universite 'de Limoges (France), holds a PhD Course in April 2011 entitled "On some integral operators useful to study qualitative properties of partial differential equations ".

      • She is invited, from 20 to 27 May 2011, at the international conference "Operators in General Morrey-Type Spaces and Applications (OMTSA 2011)" at the Department of Mathematics of Ahi Evran University, Kyrsehir (Turkey)  to give a plenary lecture (90 minutes ) entitled: "Partial differential equations Involving Morrey spaces as initial conditions".

      • Is invited, from 3 to 9 July 2011, at the international conference "22nd International Workshop on Operator Theory and its Applications (IWOTA 2011)" at the Universidad de Sevilla (Spain), to held a conference entitled "On classical operators of real analysis having vanishing mean oscillation functions ".

      • During the "International Conference of Numerical Analysis and Applied Mathematics 2011 (ICNAAM 2011), in the section:" 3nd symposium on variational inequalities and equilibrium problems ", Halkidiki (Greece) 19 to 25 September 2011, gave a lecture entitled: "Immune system network and cancer vaccine."

      • She is invited to give a lecture (45 minutes), the International School of Mathematics "G.
Stampacchia ":" 58th Course: Variational Analysis and Applications ", Erice 14 to 22 May 2012, entitled:" Recent advances on some operators in Local Morrey Type Spaces ".

      • She has joined  the ICNPAA 2012 WORLD CONGRESS ", 10 to 14 July 2012, in the Vienna University of Technology (Vienna), and there held a conference entitled" On some estimates for the derivative of local minimizers of variational integrals " .
      • Holds a PhD Course in Karlstad (Sweden) on May 2013, entitled: “Partial diffetential equations having discontinuous coefficients”.


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