Lu, Yueming; Bao, Gejun Stability of weak solutions to obstacle problem in Clifford analysis. (English) Zbl 1375.35083 Adv. Difference Equ. 2013, Paper No. 250, 11 p. (2013). MSC: 35D30 35B35 35R03 15A66 PDFBibTeX XMLCite \textit{Y. Lu} and \textit{G. Bao}, Adv. Difference Equ. 2013, Paper No. 250, 11 p. (2013; Zbl 1375.35083) Full Text: DOI
Li, Bin; Xu, Chao; Teo, Kok Lay; Chu, Jian Time optimal Zermelo’s navigation problem with moving and fixed obstacles. (English) Zbl 1337.49071 Appl. Math. Comput. 224, 866-875 (2013). MSC: 49N90 49M37 90C30 90C90 PDFBibTeX XMLCite \textit{B. Li} et al., Appl. Math. Comput. 224, 866--875 (2013; Zbl 1337.49071) Full Text: DOI
Frentz, Marie Regularity in the obstacle problem for parabolic non-divergence operators of Hörmander type. (English) Zbl 1328.35115 J. Differ. Equations 255, No. 10, 3638-3677 (2013). MSC: 35K65 35K70 35B65 35B44 35A09 35H10 PDFBibTeX XMLCite \textit{M. Frentz}, J. Differ. Equations 255, No. 10, 3638--3677 (2013; Zbl 1328.35115) Full Text: DOI arXiv
Koroleva, Yu. O.; Strömqvist, M. H. \(\Gamma\)-convergence of oscillating thin obstacles. (English) Zbl 1311.49032 Eurasian Math. J. 4, No. 4, 88-100 (2013). MSC: 49J45 PDFBibTeX XMLCite \textit{Yu. O. Koroleva} and \textit{M. H. Strömqvist}, Eurasian Math. J. 4, No. 4, 88--100 (2013; Zbl 1311.49032) Full Text: MNR
Väth, Martin Bifurcation of obstacle problems with inclusions follow from degree results for variational inequalities. (English) Zbl 1313.35020 Differ. Integral Equ. 26, No. 11-12, 1235-1262 (2013). Reviewer: Milan Kučera (Praha) MSC: 35B32 35K57 35J60 35J88 47J20 PDFBibTeX XMLCite \textit{M. Väth}, Differ. Integral Equ. 26, No. 11--12, 1235--1262 (2013; Zbl 1313.35020)
Merluşcă, D. R. A duality-type method for the obstacle problem. (English) Zbl 1313.65172 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 21, No. 3, 181-195 (2013). MSC: 65K15 49N15 49J40 PDFBibTeX XMLCite \textit{D. R. Merluşcă}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 21, No. 3, 181--195 (2013; Zbl 1313.65172)
Frohne, J.; Suttmeier, F. T. Adaptive finite elements with thin obstacles. (English) Zbl 1304.74056 Int. Math. Forum 8, No. 37-40, 1921-1931 (2013). MSC: 74S05 PDFBibTeX XMLCite \textit{J. Frohne} and \textit{F. T. Suttmeier}, Int. Math. Forum 8, No. 37--40, 1921--1931 (2013; Zbl 1304.74056) Full Text: DOI
Hardering, Hanne Numerical approximation of capillary surfaces in a negative gravitational field. (English) Zbl 1290.83028 Interfaces Free Bound. 15, No. 3, 263-280 (2013). MSC: 83C55 65N15 53A10 65N30 83-08 49M05 PDFBibTeX XMLCite \textit{H. Hardering}, Interfaces Free Bound. 15, No. 3, 263--280 (2013; Zbl 1290.83028) Full Text: DOI
Merluşcă, Diana A duality algorithm for the obstacle problem. (English) Zbl 1284.65079 Ann. Acad. Rom. Sci., Math. Appl. 5, No. 1-2, 209-215 (2013). MSC: 65K10 65K15 90C59 49N15 PDFBibTeX XMLCite \textit{D. Merluşcă}, Ann. Acad. Rom. Sci., Math. Appl. 5, No. 1--2, 209--215 (2013; Zbl 1284.65079) Full Text: Link
Bigolin, Francesco Regularity results for a class of obstacle problems in Heisenberg groups. (English) Zbl 1299.35072 Appl. Math., Praha 58, No. 5, 531-554 (2013). MSC: 35D30 35J20 PDFBibTeX XMLCite \textit{F. Bigolin}, Appl. Math., Praha 58, No. 5, 531--554 (2013; Zbl 1299.35072) Full Text: DOI Link
Pinamonti, Andrea; Valdinoci, Enrico A Lewy-Stampacchia estimate for variational inequalities in the Heisenberg group. (English) Zbl 1288.35485 Rend. Ist. Mat. Univ. Trieste 45, 23-45 (2013). MSC: 35R03 49J40 35H20 PDFBibTeX XMLCite \textit{A. Pinamonti} and \textit{E. Valdinoci}, Rend. Ist. Mat. Univ. Trieste 45, 23--45 (2013; Zbl 1288.35485) Full Text: arXiv
Ikehata, Masaru Analytical methods for extracting discontinuity in inverse problems: the probe method after 10 years. (English. Japanese original) Zbl 1286.35267 Sugaku Expo. 26, No. 1, 1-28 (2013); translation from Sūgaku 62, No. 3, 289-314 (2010). MSC: 35R30 35J05 35K05 35P25 PDFBibTeX XMLCite \textit{M. Ikehata}, Sugaku Expo. 26, No. 1, 1--28 (2013; Zbl 1286.35267); translation from Sūgaku 62, No. 3, 289--314 (2010)
Lindgren, Erik; Monneau, Régis Pointwise estimates for the heat equation. Application to the free boundary of the obstacle problem with Dini coefficients. (English) Zbl 1286.35275 Indiana Univ. Math. J. 62, No. 1, 171-199 (2013). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35K05 35K85 PDFBibTeX XMLCite \textit{E. Lindgren} and \textit{R. Monneau}, Indiana Univ. Math. J. 62, No. 1, 171--199 (2013; Zbl 1286.35275) Full Text: DOI arXiv Link
Elliott, Robert J.; Siu, Tak Kuen Reflected backward stochastic differential equations, convex risk measures and American options. (English) Zbl 1343.60093 Stochastic Anal. Appl. 31, No. 6, 1077-1096 (2013). MSC: 60H30 60H10 60G40 91G80 PDFBibTeX XMLCite \textit{R. J. Elliott} and \textit{T. K. Siu}, Stochastic Anal. Appl. 31, No. 6, 1077--1096 (2013; Zbl 1343.60093) Full Text: DOI
Calvo-Garrido, M. Carmen; Pascucci, Andrea; Vázquez, Carlos Mathematical analysis and numerical methods for pricing pension plans allowing early retirement. (English) Zbl 1285.91147 SIAM J. Appl. Math. 73, No. 5, 1747-1767 (2013). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 91G80 35K65 91G60 65M60 PDFBibTeX XMLCite \textit{M. C. Calvo-Garrido} et al., SIAM J. Appl. Math. 73, No. 5, 1747--1767 (2013; Zbl 1285.91147) Full Text: DOI Link
Sun, Jiguang; Zheng, Chunxiong Reconstruction of obstacles embedded in waveguides. (English) Zbl 1281.78013 Li, Jichun (ed.) et al., Recent advances in scientific computing and applications. Eighth international conference on scientific computing and applications, University of Nevada, Las Vegas, NV, USA, April 1–4, 2012. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8737-0/hbk; 978-0-8218-9501-6/ebook). Contemporary Mathematics 586, 341-350 (2013). MSC: 78A46 35R30 35J05 35P25 78A50 78A45 PDFBibTeX XMLCite \textit{J. Sun} and \textit{C. Zheng}, Contemp. Math. 586, 341--350 (2013; Zbl 1281.78013) Full Text: DOI
Harasim, Petr; Valdman, Jan Verification of functional a posteriori error estimates for obstacle problem in \(1D\). (English) Zbl 1278.49035 Kybernetika 49, No. 5, 738-754 (2013). MSC: 49M25 49J40 65K15 65L60 34B15 74K05 74M15 74S05 PDFBibTeX XMLCite \textit{P. Harasim} and \textit{J. Valdman}, Kybernetika 49, No. 5, 738--754 (2013; Zbl 1278.49035) Full Text: arXiv Link
Xie, Suying; Li, Song Global regularity for very weak solutions of obstacle problems of an elliptic equation. (Chinese. English summary) Zbl 1289.35119 Math. Appl. 26, No. 2, 346-354 (2013). MSC: 35J62 35B65 PDFBibTeX XMLCite \textit{S. Xie} and \textit{S. Li}, Math. Appl. 26, No. 2, 346--354 (2013; Zbl 1289.35119)
Dalang, Robert C.; Zhang, Tusheng Hölder continuity of solutions of SPDEs with reflection. (English) Zbl 1277.60107 Commun. Math. Stat. 1, No. 2, 133-142 (2013). MSC: 60H15 60F10 60F05 PDFBibTeX XMLCite \textit{R. C. Dalang} and \textit{T. Zhang}, Commun. Math. Stat. 1, No. 2, 133--142 (2013; Zbl 1277.60107) Full Text: DOI
Oksanen, Lauri Inverse obstacle problem for the non-stationary wave equation with an unknown background. (English) Zbl 1274.35420 Commun. Partial Differ. Equations 38, No. 7-9, 1492-1518 (2013). MSC: 35R30 65M32 35L20 PDFBibTeX XMLCite \textit{L. Oksanen}, Commun. Partial Differ. Equations 38, No. 7--9, 1492--1518 (2013; Zbl 1274.35420) Full Text: DOI arXiv
Dardé, Jérémi; Hannukainen, Antti; Hyvönen, Nuutti An \(H_{\text div}\)-based mixed quasi-reversibility method for solving elliptic Cauchy problems. (English) Zbl 1291.35434 SIAM J. Numer. Anal. 51, No. 4, 2123-2148 (2013). MSC: 35R25 35A15 35N25 35R30 65M32 65M60 PDFBibTeX XMLCite \textit{J. Dardé} et al., SIAM J. Numer. Anal. 51, No. 4, 2123--2148 (2013; Zbl 1291.35434) Full Text: DOI
Carl, Siegfried Existence and extremal solutions of parabolic variational-hemivariational inequalities. (English) Zbl 1277.35228 Monatsh. Math. 172, No. 1, 29-54 (2013). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35K86 35B51 35R70 47H04 47J35 PDFBibTeX XMLCite \textit{S. Carl}, Monatsh. Math. 172, No. 1, 29--54 (2013; Zbl 1277.35228) Full Text: DOI
Ahmad, Naveed; Saleem, Muhammad Shoaib; Rehman, Nasir; Hussain, Sultan; Shashiashvili, Malkhaz Area estimation between the early exercise boundaries for the American put option with different local volatilities. (English) Zbl 1273.49013 SIAM J. Control Optim. 51, No. 3, 1988-2004 (2013). MSC: 49J40 91G80 91B25 PDFBibTeX XMLCite \textit{N. Ahmad} et al., SIAM J. Control Optim. 51, No. 3, 1988--2004 (2013; Zbl 1273.49013) Full Text: DOI
Zheng, Jun; Zhang, Zhihua; Zhao, Peihao Porosity of free boundaries in the obstacle problem for quasilinear elliptic equations. (English) Zbl 1278.35107 Proc. Indian Acad. Sci., Math. Sci. 123, No. 3, 373-382 (2013). MSC: 35J62 PDFBibTeX XMLCite \textit{J. Zheng} et al., Proc. Indian Acad. Sci., Math. Sci. 123, No. 3, 373--382 (2013; Zbl 1278.35107) Full Text: DOI
Eleuteri, Michela; Harjulehto, Petteri; Lukkari, Teemu Global regularity and stability of solutions to obstacle problems with nonstandard growth. (English) Zbl 1272.49013 Rev. Mat. Complut. 26, No. 1, 147-181 (2013). MSC: 49J40 49N60 35B20 35J25 46E35 PDFBibTeX XMLCite \textit{M. Eleuteri} et al., Rev. Mat. Complut. 26, No. 1, 147--181 (2013; Zbl 1272.49013) Full Text: DOI
Kinnunen, Juha; Lukkari, Teemu; Parviainen, Mikko Local approximation of superharmonic and superparabolic functions in nonlinear potential theory. (English) Zbl 1280.35072 J. Fixed Point Theory Appl. 13, No. 1, 291-307 (2013). Reviewer: Peter Lindqvist (Trondheim) MSC: 35K92 35A35 31C45 PDFBibTeX XMLCite \textit{J. Kinnunen} et al., J. Fixed Point Theory Appl. 13, No. 1, 291--307 (2013; Zbl 1280.35072) Full Text: DOI arXiv
Goldman, M. A geometric approach for convexity in some variational problem in the Gauss space. (English) Zbl 1270.49037 Rend. Semin. Mat. Univ. Padova 129, 79-91 (2013). MSC: 49N60 60D05 35J70 PDFBibTeX XMLCite \textit{M. Goldman}, Rend. Semin. Mat. Univ. Padova 129, 79--91 (2013; Zbl 1270.49037) Full Text: DOI arXiv
Caffarelli, Luis; Figalli, Alessio Regularity of solutions to the parabolic fractional obstacle problem. (English) Zbl 1277.35088 J. Reine Angew. Math. 680, 191-233 (2013). Reviewer: Galina Bizhanova (Almaty) MSC: 35B65 35S05 35D40 35R35 35R11 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{A. Figalli}, J. Reine Angew. Math. 680, 191--233 (2013; Zbl 1277.35088) Full Text: DOI arXiv
Zheng, Jun; Zhang, Zhihua; Zhao, Peihao Starshapedness in the obstacle problem. (English) Zbl 1307.35122 Indian J. Pure Appl. Math. 44, No. 3, 405-416 (2013). MSC: 35J86 35B05 PDFBibTeX XMLCite \textit{J. Zheng} et al., Indian J. Pure Appl. Math. 44, No. 3, 405--416 (2013; Zbl 1307.35122) Full Text: DOI
Arkhipova, A. A. Estimate of the singular set of the solution to variational problem with a nonconvex obstacle that goes out to the boundary. (English. Russian original) Zbl 1268.49044 J. Math. Sci., New York 189, No. 3, 335-341 (2013); translation from Probl. Mat. Anal. 68, 3-8 (2013). MSC: 49N60 PDFBibTeX XMLCite \textit{A. A. Arkhipova}, J. Math. Sci., New York 189, No. 3, 335--341 (2013; Zbl 1268.49044); translation from Probl. Mat. Anal. 68, 3--8 (2013) Full Text: DOI
Bayraktar, Erhan; Huang, Yu-Jui On the multidimensional controller-and-stopper games. (English) Zbl 1268.49045 SIAM J. Control Optim. 51, No. 2, 1263-1297 (2013). MSC: 49N70 49L25 49L20 91A15 91A23 60J60 PDFBibTeX XMLCite \textit{E. Bayraktar} and \textit{Y.-J. Huang}, SIAM J. Control Optim. 51, No. 2, 1263--1297 (2013; Zbl 1268.49045) Full Text: DOI arXiv
Liu, Keji; Xu, Yongzhi; Zou, Jun A parallel radial bisection algorithm for inverse scattering problems. (English) Zbl 1269.65116 Inverse Probl. Sci. Eng. 21, No. 2, 197-209 (2013). MSC: 65N21 35J05 78A46 65Y20 65Y05 65N38 PDFBibTeX XMLCite \textit{K. Liu} et al., Inverse Probl. Sci. Eng. 21, No. 2, 197--209 (2013; Zbl 1269.65116) Full Text: DOI
Aman, Auguste; Mrhardy, Naoul Obstacle problem for SPDE with nonlinear Neumann boundary condition via reflected generalized backward doubly SDEs. (English) Zbl 1267.60070 Stat. Probab. Lett. 83, No. 3, 863-874 (2013). MSC: 60H15 60H20 PDFBibTeX XMLCite \textit{A. Aman} and \textit{N. Mrhardy}, Stat. Probab. Lett. 83, No. 3, 863--874 (2013; Zbl 1267.60070) Full Text: DOI arXiv
Schwab, Russell W. Stochastic homogenization for some nonlinear integro-differential equations. (English) Zbl 1262.49032 Commun. Partial Differ. Equations 38, No. 1-3, 171-198 (2013). MSC: 49L25 49N70 45J05 47G20 60J75 93E20 PDFBibTeX XMLCite \textit{R. W. Schwab}, Commun. Partial Differ. Equations 38, No. 1--3, 171--198 (2013; Zbl 1262.49032) Full Text: DOI arXiv
Hongya, Gao; Chao, Liu; Hong, Tian Remarks on a paper by Leonetti and Siepe. (English) Zbl 1266.35065 J. Math. Anal. Appl. 401, No. 2, 881-887 (2013). MSC: 35J60 35J25 35D30 PDFBibTeX XMLCite \textit{G. Hongya} et al., J. Math. Anal. Appl. 401, No. 2, 881--887 (2013; Zbl 1266.35065) Full Text: DOI arXiv
Wang, Fei Discontinuous Galerkin methods for solving double obstacle problem. (English) Zbl 1276.65038 Numer. Methods Partial Differ. Equations 29, No. 2, 706-720 (2013). Reviewer: Elena Resmerita (Linz) MSC: 65K15 49J40 49M25 PDFBibTeX XMLCite \textit{F. Wang}, Numer. Methods Partial Differ. Equations 29, No. 2, 706--720 (2013; Zbl 1276.65038) Full Text: DOI
Baldo, S.; Jerrard, R. L.; Orlandi, G.; Soner, H. M. Vortex density models for superconductivity and superfluidity. (English) Zbl 1269.82070 Commun. Math. Phys. 318, No. 1, 131-171 (2013). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 82D50 82D55 35Q56 82B27 PDFBibTeX XMLCite \textit{S. Baldo} et al., Commun. Math. Phys. 318, No. 1, 131--171 (2013; Zbl 1269.82070) Full Text: DOI arXiv
Zou, Qingsong A novel hierarchial error estimate for elliptic obstacle problems. (English) Zbl 1263.65064 J. Sci. Comput. 54, No. 1, 77-96 (2013). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{Q. Zou}, J. Sci. Comput. 54, No. 1, 77--96 (2013; Zbl 1263.65064) Full Text: DOI
Honda, N.; Nakamura, G.; Sini, M. Analytic extension and reconstruction of obstacles from few measurements for elliptic second order operators. (English) Zbl 1263.35082 Math. Ann. 355, No. 2, 401-427 (2013). MSC: 35J25 35P25 35J05 PDFBibTeX XMLCite \textit{N. Honda} et al., Math. Ann. 355, No. 2, 401--427 (2013; Zbl 1263.35082) Full Text: DOI
Liu, Jiakun; Zhou, Bin An obstacle problem for a class of Monge-Ampère type functionals. (English) Zbl 1275.35103 J. Differ. Equations 254, No. 3, 1306-1325 (2013). Reviewer: Stepan Agop Tersian (Rousse) MSC: 35J60 35B45 49Q20 PDFBibTeX XMLCite \textit{J. Liu} and \textit{B. Zhou}, J. Differ. Equations 254, No. 3, 1306--1325 (2013; Zbl 1275.35103) Full Text: DOI arXiv
Pathak, H. K.; Deepmala Common fixed point theorems for \(\mathcal P \mathcal D\)-operator pairs under relaxed conditions with applications. (English) Zbl 1296.54082 J. Comput. Appl. Math. 239, 103-113 (2013). MSC: 54H25 54E35 49L20 PDFBibTeX XMLCite \textit{H. K. Pathak} and \textit{Deepmala}, J. Comput. Appl. Math. 239, 103--113 (2013; Zbl 1296.54082) Full Text: DOI
Wang, Tingting; Wang, Lizhou A new Aleksandrov-Bakelman-Pucci maximum principle for \(p\)-Laplacian operator. (English) Zbl 1259.35103 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 77, 171-179 (2013). MSC: 35J62 PDFBibTeX XMLCite \textit{T. Wang} and \textit{L. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 77, 171--179 (2013; Zbl 1259.35103) Full Text: DOI
Colton, David; Kress, Rainer Inverse acoustic and electromagnetic scattering theory. 3rd ed. (English) Zbl 1266.35121 Applied Mathematical Sciences 93. New York, NY: Springer (ISBN 978-1-4614-4941-6/hbk; 978-1-4614-4942-3/ebook). xiv, 405 p. (2013). Reviewer: Johannes Elschner (Berlin) MSC: 35P25 35J05 35R30 45A05 65M30 78A45 PDFBibTeX XMLCite \textit{D. Colton} and \textit{R. Kress}, Inverse acoustic and electromagnetic scattering theory. 3rd ed. New York, NY: Springer (2013; Zbl 1266.35121) Full Text: DOI Link