Academic literature on the topic 'Sobolev spaces'
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Journal articles on the topic "Sobolev spaces"
Ichinose, Takashi, and Yoshimi Saito. "Dirac–Sobolev Spaces and Sobolev Spaces." Funkcialaj Ekvacioj 53, no. 2 (2010): 291–310. http://dx.doi.org/10.1619/fesi.53.291.
Full textPustylnik, Evgeniy. "Sobolev type inequalities in ultrasymmetric spaces with applications to Orlicz-Sobolev embeddings." Journal of Function Spaces and Applications 3, no. 2 (2005): 183–208. http://dx.doi.org/10.1155/2005/254184.
Full textEvans, W. D. "SOBOLEV SPACES." Bulletin of the London Mathematical Society 19, no. 1 (January 1987): 95–96. http://dx.doi.org/10.1112/blms/19.1.95.
Full textJohnson, Raymond. "Sobolev spaces." Acta Applicandae Mathematicae 8, no. 2 (February 1987): 199–205. http://dx.doi.org/10.1007/bf00046713.
Full textOHNO, TAKAO, and TETSU SHIMOMURA. "SOBOLEV INEQUALITIES FOR RIESZ POTENTIALS OF FUNCTIONS IN OVER NONDOUBLING MEASURE SPACES." Bulletin of the Australian Mathematical Society 93, no. 1 (November 12, 2015): 128–36. http://dx.doi.org/10.1017/s0004972715001331.
Full textChen, Shutao, Changying Hu, and Charles Xuejin Zhao. "Extreme points and rotundity of Orlicz-Sobolev spaces." International Journal of Mathematics and Mathematical Sciences 32, no. 5 (2002): 293–99. http://dx.doi.org/10.1155/s0161171202202252.
Full textYang, Dachun, and Yong Lin. "SPACES OF LIPSCHITZ TYPE ON METRIC SPACES AND THEIR APPLICATIONS." Proceedings of the Edinburgh Mathematical Society 47, no. 3 (October 2004): 709–52. http://dx.doi.org/10.1017/s0013091503000907.
Full textGröger, Konrad, and Lutz Recke. "Preduals of Sobolev-Campanato spaces." Mathematica Bohemica 126, no. 2 (2001): 403–10. http://dx.doi.org/10.21136/mb.2001.134016.
Full textGaczkowski, Michał, and Przemysław Górka. "Variable Hajłasz-Sobolev spaces on compact metric spaces." Mathematica Slovaca 67, no. 1 (February 1, 2017): 199–208. http://dx.doi.org/10.1515/ms-2016-0258.
Full textEvans, W. D. "WEIGHTED SOBOLEV SPACES." Bulletin of the London Mathematical Society 18, no. 2 (March 1986): 220–21. http://dx.doi.org/10.1112/blms/18.2.220.
Full textDissertations / Theses on the topic "Sobolev spaces"
Clemens, Jason. "Sobolev spaces." Kansas State University, 2014. http://hdl.handle.net/2097/18186.
Full textDepartment of Mathematics
Marianne Korten
The goal for this paper is to present material from Gilbarg and Trudinger’s Elliptic Partial Differential Equations of Second Order chapter 7 on Sobolev spaces, in a manner easily accessible to a beginning graduate student. The properties of weak derivatives and there relationship to conventional concepts from calculus are the main focus, that is when do weak and strong derivatives coincide. To enable the progression into the primary focus, the process of mollification is presented and is widely used in estimations. Imbedding theorems and compactness results are briefly covered in the final sections. Finally, we add some exercises at the end to illustrate the use of the ideas presented throughout the paper.
Gjestland, Fredrik Joachim. "Distributions, Schwartz Space and Fractional Sobolev Spaces." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, 2013. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-23452.
Full textKydyrmina, Nurgul. "Operators in Sobolev Morrey spaces." Doctoral thesis, Università degli studi di Padova, 2013. http://hdl.handle.net/11577/3423455.
Full textGli spazi di Morrey sono stati introdotti da Charles Morrey nel 1938. Essi sono uno strumento utile nella teoria della regolarità per equazioni differenziali alle derivate parziali, in analisi reale ed in fisica matematica. Negli anni novanta del XX secolo ha iniziato a svilupparsi un attivo studio degli spazi di Morrey di tipo generalizzato che sono caratterizzati da un parametro funzionale. E' stato ottenuto un cero numero di risultati sulla limitatezza degli operatori classici negli spazi di Morrey di tipo generalizzato. All'inizio del XXI secolo ci sono stati nuovi e attivi sviluppi in questa area. Nell'ultima decade molti matematici hanno svolto ricerche su spazi funzionali relativi agli spazi di Morrey. Tra questi spazi gli spazi di tipo Sobolev giocano un ruolo importante. Nella tesi si studiano Spazi di Sobolev costruiti su spazi di Morrey, anche detti spazi di Sobolev Morrey. Questi sono spazi di funzioni che hanno derivate fino ad un certo ordine negli spazi di Morrey. Si analizzano alcune proprietà di base degli spazi di Morrey e degli spazi di Sobolev-Morrey. Poi si considerano operatori di immersione e di moltiplicazione negli spazi di Sobolev Morrey. La terza parte della tesi presenta uno studio degli operatori di composizione negli spazi di Sobolev Morrey. I risultati presentati nella tesi sono stati ottenuti sotto la supervisione dei Professori V.I. Burenkov and M. Lanza de Cristoforis.
Färm, David. "Upper gradients and Sobolev spaces on metric spaces." Thesis, Linköping University, Department of Mathematics, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-5816.
Full textThe Laplace equation and the related p-Laplace equation are closely associated with Sobolev spaces. During the last 15 years people have been exploring the possibility of solving partial differential equations in general metric spaces by generalizing the concept of Sobolev spaces. One such generalization is the Newtonian space where one uses upper gradients to compensate for the lack of a derivative.
All papers on this topic are written for an audience of fellow researchers and people with graduate level mathematical skills. In this thesis we give an introduction to the Newtonian spaces accessible also for senior undergraduate students with only basic knowledge of functional analysis. We also give an introduction to the tools needed to deal with the Newtonian spaces. This includes measure theory and curves in general metric spaces.
Many of the properties of ordinary Sobolev spaces also apply in the generalized setting of the Newtonian spaces. This thesis includes proofs of the fact that the Newtonian spaces are Banach spaces and that under mild additional assumptions Lipschitz functions are dense there. To make them more accessible, the proofs have been extended with comments and details previously omitted. Examples are given to illustrate new concepts.
This thesis also includes my own result on the capacity associated with Newtonian spaces. This is the theorem that if a set has p-capacity zero, then the capacity of that set is zero for all smaller values of p.
Park, Young Ja. "Sobolev trace inequality and logarithmic Sobolev trace inequality." Digital version:, 2000. http://wwwlib.umi.com/cr/utexas/fullcit?p9992883.
Full textSpector, Daniel. "Characterization of Sobolev and BV Spaces." Research Showcase @ CMU, 2011. http://repository.cmu.edu/dissertations/78.
Full textNeves, Julio Severino. "Fractional Sobolev-type spaces and embeddings." Thesis, University of Sussex, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.341514.
Full textDines, Nicoleta, Gohar Harutjunjan, and Bert-Wolfgang Schulze. "The Zaremba problem in edge Sobolev spaces." Universität Potsdam, 2003. http://opus.kobv.de/ubp/volltexte/2008/2661/.
Full textDavidsson, Johan. "Sobolev Spaces and the Finite Element Method." Thesis, Örebro universitet, Institutionen för naturvetenskap och teknik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:oru:diva-67470.
Full textClavero, Nadia F. "Optimal Sobolev Embeddings in Spaces with Mixed Norm." Doctoral thesis, Universitat de Barcelona, 2015. http://hdl.handle.net/10803/292613.
Full textThis thesis project concerns estimates, in function spaces, that relate the norm of a function and that of its derivatives. Speci.cally, our main purpose is to study the classical Sobolev-type inequalities due to Gagliardo and Nirenberg for higher order derivatives and more general spaces. In particular, we concentrate on seeking the optimal domains and the optimal ranges for these embeddings between rearrangement-invariant spaces (r.i.) and mixed norm spaces.
Books on the topic "Sobolev spaces"
Maz'ya, Vladimir. Sobolev Spaces. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-15564-2.
Full textMaz’ja, Vladimir G. Sobolev Spaces. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-662-09922-3.
Full textKufner, Alois. Weighted Sobolev spaces. Chichester: Wiley, 1985.
Find full textMazʹi︠a︡, V. G. Sobolev spaces in mathematics. New York: Springer, 2009.
Find full textBurenkov, Victor I. Sobolev Spaces on Domains. Wiesbaden: Vieweg+Teubner Verlag, 1998. http://dx.doi.org/10.1007/978-3-663-11374-4.
Full textBurenkov, Victor I. Sobolev spaces on domains. Stuttgart: B.G. Teubner, 1998.
Find full textG, Mazʹi︠a︡ V., and Isakov Victor 1947-, eds. Sobolev spaces in mathematics. New York: Springer, 2009.
Find full textG, Mazʹi︠a︡ V., and Isakov Victor 1947-, eds. Sobolev spaces in mathematics. New York: Springer, 2009.
Find full textHebey, Emmanuel. Sobolev Spaces on Riemannian Manifolds. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/bfb0092907.
Full textMaz’ya, Vladimir, ed. Sobolev Spaces In Mathematics I. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-85648-3.
Full textBook chapters on the topic "Sobolev spaces"
Maz’ja, Vladimir G. "Imbedding of the Space into Other Function Spaces." In Sobolev Spaces, 424–52. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-662-09922-3_12.
Full textKress, Rainer. "Sobolev Spaces." In Linear Integral Equations, 125–51. New York, NY: Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-0559-3_8.
Full textWillem, Michel. "Sobolev Spaces." In Cornerstones, 111–37. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7004-5_6.
Full textKrantz, Steven G., and Harold R. Parks. "Sobolev Spaces." In The Geometry of Domains in Space, 143–55. Boston, MA: Birkhäuser Boston, 1999. http://dx.doi.org/10.1007/978-1-4612-1574-5_4.
Full textDuistermaat, J. J., and J. A. C. Kolk. "Sobolev Spaces." In Distributions, 311–20. Boston: Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4675-2_19.
Full textMotreanu, Dumitru, Viorica Venera Motreanu, and Nikolaos Papageorgiou. "Sobolev Spaces." In Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems, 1–13. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-9323-5_1.
Full textKress, Rainer. "Sobolev Spaces." In Linear Integral Equations, 141–70. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-9593-2_8.
Full textHarjulehto, Petteri, and Peter Hästö. "Sobolev Spaces." In Lecture Notes in Mathematics, 123–44. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15100-3_6.
Full textBrenner, Susanne C., and L. Ridgway Scott. "Sobolev Spaces." In Texts in Applied Mathematics, 23–47. New York, NY: Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4757-3658-8_2.
Full textAubin, Thierry. "Sobolev Spaces." In Some Nonlinear Problems in Riemannian Geometry, 32–69. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-13006-3_2.
Full textConference papers on the topic "Sobolev spaces"
Pick, Luboš. "Optimality of function spaces in Sobolev embeddings." In V International Course of Mathematical Analysis in Andalusia. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789814699693_0003.
Full textFetzer, Matthias, and Carsten W. Scherer. "Stability and performance analysis on Sobolev spaces." In 2016 IEEE 55th Conference on Decision and Control (CDC). IEEE, 2016. http://dx.doi.org/10.1109/cdc.2016.7799390.
Full textHe, Wenjie, and Mingjun Lai. "Bivariate box spline wavelets in Sobolev spaces." In SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, edited by Andrew F. Laine, Michael A. Unser, and Akram Aldroubi. SPIE, 1998. http://dx.doi.org/10.1117/12.328149.
Full textBaust, Maximilian, Darko Zikic, and Nassir Navab. "Variational Level Set Segmentation in Riemannian Sobolev Spaces." In British Machine Vision Conference 2014. British Machine Vision Association, 2014. http://dx.doi.org/10.5244/c.28.39.
Full textDEMIDENKO, GENNADII V. "WEIGHTED SOBOLEV SPACES AND QUASIELLIPTIC OPERATORS IN RN." In Proceedings of the 3rd ISAAC Congress. World Scientific Publishing Company, 2003. http://dx.doi.org/10.1142/9789812794253_0051.
Full textYAKUBOVICH, SEMYON B. "SOBOLEV TYPE SPACES ASSOCIATED WITH THE KONTOROVICH-LEBEDEV TRANSFORM." In Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0021.
Full textEpperlein, Jonathan P., and Bassam Bamieh. "Distributed control of spatially invariant systems over Sobolev spaces." In 2014 European Control Conference (ECC). IEEE, 2014. http://dx.doi.org/10.1109/ecc.2014.6862545.
Full textKushpel, A., and S. Tozoni. "Entropy Numbers of Sobolev and Besov Classes on Homogeneous Spaces." In Proceedings of the 4th International ISAAC Congress. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701732_0006.
Full textKoller, Michael, Johannes Grobmann, Ullrich Monich, and Holger Boche. "Deformation Stability of Deep Convolutional Neural Networks on Sobolev Spaces." In ICASSP 2018 - 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2018. http://dx.doi.org/10.1109/icassp.2018.8462158.
Full textAydın, İsmail. "On Some Properties of Lorentz-Sobolev Spaces with Variable Exponent." In 4th International Symposium on Innovative Approaches in Engineering and Natural Sciences. SETSCI, 2019. http://dx.doi.org/10.36287/setsci.4.6.009.
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