Диссертация (1149369), страница 12
Текст из файла (страница 12)
An inverse problem in elastodynamics: uniqueness of the wave speeds inthe interior.J. Dierential Equations,[15] M. I. Belishev, I. Lasiecka.162 (2000), No. 2, 300325.The dynamical Lame system: regularity of solutions,boundary controllability and boundary data continuation.Optimisation and Calculues of Variations,J. ESAIM: Control,8 (2002), 143167.[16] M. I. Belishev.
Dynamical inverse problem for a Lame type system.and Ill-Posed Problems,Journal of Inverse14 (2006), No 8, 751766.[17] Ì. È. Áåëèøåâ, Â. Ã. Ôîìåíêî. Î äîñòèæèìûõ ìíîæåñòâàõ äèíàìè÷åñêîé ñèñòåìûòèïà Ëàìå.Ïåðåâîä:Ïðîáëåìû ìàòåìàòè÷åñêîãî àíàëèçà,Journal of Mathematical Sciences,[18] Â. Ã. Ôîìåíêî.ìåòîä).191 (2013), Nî. 2, 162177.Äèíàìè÷åñêàÿ îáðàòíàÿ çàäà÷à äëÿ ñèñòåìû òèïà Ëàìå (ÂÑ-Çàïèñêè íàó÷íûõ ñåìèíàðîâ ÏÎÌÈ,[19] Â. Ã.
Ôîìåíêî.70 (2013), 5770.426 (2014), 218259.Îïåðàòîð ðåàêöèè ñèñòåìû Ëàìý.1(17) (2010), 1318.Cêëàäíi cèñòåìè i ïðîöåñè,84[20] Â. Ã. Ôîìåíêî. ÂÑmethod for Lame system. Book of abstracts of the8th internationalconference Problems of Geocosmos , S.-Petersburg, 2010, 166167.[21] Â. Ã. Ôîìåíêî. Äèíàìè÷åñêàÿ îáðàòíàÿ çàäà÷à äëÿ ñèñòåìû òèïà Ëàìå. Ñáîðíèêòåçèñîâ V-é ìåæäóíàðîäíîé ìîëî伿íîé íàó÷íîé øêîëû-êîíôåðåíöèè "Òåîðèÿè ÷èñëåííûå ìåòîäû ðåøåíèÿ îáðàòíûõ è íåêîððåêòíûõ çàäà÷" , Íîâîñèáèðñê,Àêàäåìãîðîäîê, 2013, c.
98.[22] M. I. Belishev. Recent progress in the boundary control method.Inverse Problems,23 (2007), No 5, 167.[23] Ì. È. Áåëèøåâ. Î ðåêîíñòðóêöèè ðèìàíîâà ìíîãîîáðàçèÿ ïî ãðàíè÷íûì äàííûì:òåîðèÿ è ïëàí ÷èñëåííîãî ýêñïåðèìåíòà.Çàïèñêè íàó÷íûõ ñåìèíàðîâ ÏÎÌÈ, 380(2010), 830.Ïåðåâîä:Journal of Mathematical Sciences,[24] Ì.
È. Áåëèøåâ.175 (2011), No. 6, 623636.Îïðåäåëåíèå ðàññòîÿíèé äî âèðòóàëüíîãî èñòî÷íèêà ïî äèíà-ìè÷åñêèì ãðàíè÷íûì äàííûì.Çàïèñêè íàó÷íûõ ñåìèíàðîâ ÏÎÌÈ,393 (2011),2945.Ïåðåâîä:Journal of Mathematical Sciences,[25] M. I. Belishev, M. N. Demchenko.185 (2012), No 4, 526535.Time-optimal reconstruction of Riemannianmanifold via boundary electromagnetic measurements.Posed Problems,Journal of Inverse and Ill19 (2011), No. 2, 167188.[26] Ý. Á. Áûõîâñêèé, Í. Â. Ñìèðíîâ.Îá îðòîãîíàëüíîì ðàçëîæåíèè ïðîñòðàíñòâàâåêòîð-ôóíêöèé, êâàäðàòè÷íî ñóììèðóåìûõ ïî çàäàííîé îáëàñòè, è îïåðàòîðàõâåêòîðíîãî àíàëèçà. Òðóäû Ìàò.
èí-òà ÀÍ ÑÑÑÐ, 59 (1960), 536.[27] Î. À. Ëàäûæåíñêàÿ.Ìàòåìàòè÷åñêèå âîïðîñû äèíàìèêè âÿçêîé íåñæèìàåìîéæèäêîñòè. Ì.: Íàóêà, 1970.85[28] Î. À. Ëàäûæåíñêàÿ, Â. À. Ñîëîííèêîâ. Î ïðèíöèïå ëèíåàðèçàöèè è èíâàðèàíòíûõ ìíîãîîáðàçèÿõ äëÿ çàäà÷è ìàãíèòîãèäðîäèíàìèêè.íàðîâ ËÎÌÈ,Ïåðåâîä:Çàïèñêè Íàó÷íûõ Ñåìè-38 (1973), 4693.J. Soviet Math.,8 (1977), 384422.[29] M. I. Belishev.
Boundary control in reconstruction of manifolds and metrics (the BCmethod).Inverse Problems,13 (1997), No 5, 145.[30] Ì. È. Áåëèøåâ, À. Ñ. Áëàãîâåùåíñêèé.Äèíàìè÷åñêèå îáðàòíûå çàäà÷è òåîðèèâîëí. ÑÏá.: ÑÏáÃÓ, 1999.[31] Ì. È. Áåëèøåâ, À. Ê. Ãëàñìàí. Äèíàìè÷åñêàÿ îáðàòíàÿ çàäà÷à äëÿ ñèñòåìû Ìàêñâåëëà: âîññòàíîâëåíèå ñêîðîñòè â ðåãóëÿðíîé çîíå (ÂÑ-ìåòîä). Àëãåáðà è àíàëèç,12:2 (2000), 131187.[32] M. Eller.
Symmetric hyperbolic systems with boundary conditions that do not satisfythe KreissSakamoto condition.[33] Ì. È. Áåëèøåâ.Applicationes Mathematicae,35 (2008), 323333.Îá óíèòàðíîì ïðåîáðàçîâàíèè â ïðîñòðàíñòâåçàííîì ñ ðàçëîæåíèåì Âåéëÿ.L2 (Ω; R3 ),Çàïèñêè Íàó÷íûõ Ñåìèíàðîâ ÏÎÌÈ,ñâÿ-275 (2001),2540.[34] Ì. È. Áåëèøåâ, À. Ê. Ãëàñìàí. Ê ïðîåêòèðîâàíèþ â ïðîñòðàíñòâå ñîëåíîèäàëüíûõ âåêòîðíûõ ïîëåé.Çàïèñêè Íàó÷íûõ Ñåìèíàðîâ ÏÎÌÈ,[35] J. Sylvester, G. Uhlmann.continuous dependence.257 (1999), 1643.Inverse boundary value problems at the boundary Communications on Pure and Applied Mathematics, 41 (1988)197219.[36] J. Lee, G.
Uhlmann. Determining anisotropic realanalytic conductivities by boundarymeasurements.Communications on Pure and Applied Mathematics,42 (1989), 1097-1112.[37] Â. Ì. Áàáè÷, Â. Ñ. Áóëäûðåâ.Àñèìïòîòè÷åñêèå ìåòîäû â çàäà÷àõ äèôðàêöèèêîðîòêèõ âîëí. Ì.: Íàóêà, 1972.86[38] Á. Ð. Âàéíáåðã. Àñèìïòîòè÷åñêèå ìåòîäû â óðàâíåíèÿõ ìàòåìàè÷åñêîé ôèçèêè.Ì.: ÌÃÓ, 1982.[39] Ì. È.
Áåëèøåâ, À. Ï. Êà÷àëîâ. Îïåðàòîðíûé èíòåãðàë â ìíîãîìåðíîé ñïåêòðàëüíîé îáðàòíîé çàäà÷å.Çàïèñêè Íàó÷íûõ Ñåìèíàðîâ ÏÎÌÈ,215 (1994), 937.[40] Ì. Í. Äåì÷åíêî. Äèíàìè÷åñêàÿ òð¼õìåðíàÿ îáðàòíàÿ çàäà÷à äëÿ ñèñòåìû Ìàêñâåëëà. Àëãåáðà è àíàëèç, 23:6 (2011), 3279.[41] Ì. Ø. Áèðìàí, Ì. Ç. Ñîëîìÿê. Ñïåêòðàëüíàÿ òåîðèÿ ñàìîñîïðÿæåííûõ îïåðàòîðîâ â ãèëüáåðòîâîì ïðîñòðàíñòâå.
Ë.: ËÃÓ, 1980..















