American Institute of Mathematical Sciences

2015, 2015(special): 428-435. doi: 10.3934/proc.2015.0428

A general approach to identification problems and applications to partial differential equations

 1 Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta S. Donato, 5, 40126 Bologna

Received  August 2014 Revised  May 2015 Published  November 2015

An abstract method to deal with identification problems related to evolution equations with multivalued linear operators (or linear relations) is described. Some applications to partial differential equations are presented.
Citation: Angelo Favini. A general approach to identification problems and applications to partial differential equations. Conference Publications, 2015, 2015 (special) : 428-435. doi: 10.3934/proc.2015.0428
References:
 [1] Artide ID 279454, 37 pages, 2013.  Google Scholar [2] A. Favaron, A. Favini and H. Tanabe, Perturbation Methods for inverse Problems in degenerate differential Equations,, to appear., ().   Google Scholar [3] Mathematics Invited Contributors at the Seventh Congress of Romanian Mathematicians, Brasov 2011 (eds. L. Beznea, V. Brinzanescu, M. Iosifescu, G. Marinoschi, R. Purice, and D. Timotin), Publishing house of the Romanian Academy (2013), 88-96. Google Scholar [4] New Prospects in Direct, Inverse and Control Problems for Evolution Equations, (eds. A. Favini, G. Fragnelli, and R. M. Mininni), Springer INdAM Series 10, Springer, Cham, Heidelberg, New York, Dordrecht, London, (2014), 107-119. Google Scholar [5] A. Favini, A. Lorenzi and H. Tanabe, Degenerate Integrodifferential Equations of Parabolyc Type with Robin boundary conditions: $L^p$-theory,, preprint., ().   Google Scholar [6] Electronic J. Diff. Eqs, (2015), 1-22. Google Scholar [7] Electronic J. Diff. Eqs, (2012), 1-34.  Google Scholar [8] Applicable Analysis 91(78), (2012), 1451-1468. Google Scholar [9] Proceedings of Seminar on Partial Differential Equations in Osaka, Osaka University, August 20-24, 2012, (2013), 89-100. Google Scholar [10] Monographs and Textbooks in Pure and Applied Mathematics 215, M. Dekker Inc, New York, (1999).  Google Scholar [11] Translations of Mathematical Monography AMS, (1972).  Google Scholar [12] Birkhäuser Basol (1995).  Google Scholar

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References:
 [1] Artide ID 279454, 37 pages, 2013.  Google Scholar [2] A. Favaron, A. Favini and H. Tanabe, Perturbation Methods for inverse Problems in degenerate differential Equations,, to appear., ().   Google Scholar [3] Mathematics Invited Contributors at the Seventh Congress of Romanian Mathematicians, Brasov 2011 (eds. L. Beznea, V. Brinzanescu, M. Iosifescu, G. Marinoschi, R. Purice, and D. Timotin), Publishing house of the Romanian Academy (2013), 88-96. Google Scholar [4] New Prospects in Direct, Inverse and Control Problems for Evolution Equations, (eds. A. Favini, G. Fragnelli, and R. M. Mininni), Springer INdAM Series 10, Springer, Cham, Heidelberg, New York, Dordrecht, London, (2014), 107-119. Google Scholar [5] A. Favini, A. Lorenzi and H. Tanabe, Degenerate Integrodifferential Equations of Parabolyc Type with Robin boundary conditions: $L^p$-theory,, preprint., ().   Google Scholar [6] Electronic J. Diff. Eqs, (2015), 1-22. Google Scholar [7] Electronic J. Diff. Eqs, (2012), 1-34.  Google Scholar [8] Applicable Analysis 91(78), (2012), 1451-1468. Google Scholar [9] Proceedings of Seminar on Partial Differential Equations in Osaka, Osaka University, August 20-24, 2012, (2013), 89-100. Google Scholar [10] Monographs and Textbooks in Pure and Applied Mathematics 215, M. Dekker Inc, New York, (1999).  Google Scholar [11] Translations of Mathematical Monography AMS, (1972).  Google Scholar [12] Birkhäuser Basol (1995).  Google Scholar
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