Authors: Pacchiano Camacho, Cintia
Contributors: Kinnunen, Juha, Prof., Aalto University, Department of Mathematics and Systems Analysis, Finland, Perustieteiden korkeakoulu, School of Science, Matematiikan ja systeemianalyysin laitos, Department of Mathematics and Systems Analysis, Nonlinear PDE research group, Aalto-yliopisto, Aalto University
Subject Terms: Mathematics, partial differential equations, parabolic, nonlinear analysis, total variation flow, Dirichlet integral, regularity theory, calculus of variations, energy estimates, quasiminimizers, metric spaces, doubling measure, Poincaré inequality, upper gradients, Newtonian spaces, Harnack estimate, existence theory, higher integrability, stability, comparison principle
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Relation: Aalto University publication series DOCTORAL THESES; 109/2022; [Publication 1]: Antonella Nastasi and Cintia Pacchiano Camacho. Regularity properties for quasiminimizers of a (p, q)-Dirichlet integral. Calculus of Variations and Partial Differential Equations, 60(6): Paper No. 227, 37, September 2021. DOI 10.1007/s00526-021-02099-y; [Publication 2]: Vito Buffa, Michael Collins and Cintia Pacchiano Camacho. Existence of parabolic minimizers to the total variation flow on metric measure spaces. Manuscripta Mathematica, January 2022. DOI 10.1007/s00229-021-01350-2; [Publication 3]: Vito Buffa, Juha Kinnunen and Cintia Pacchiano Camacho. Variational solutions to the total variation flow on metric measure spaces. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal, 220: Paper No. 112859, February 2022. Full text in Acris/Aaltodoc: http://urn.fi/URN:NBN:fi:aalto-202205173234. DOI 10.1016/j.na.2022.112859; [Publication 4]: Antonella Nastasi and Cintia Pacchiano Camacho. Higher integrability and stability of (p, q)-quasiminimizers. Submitted to a journal, March 2022.; 1799-4942 (electronic); 1799-4934 (printed); 1799-4934 (ISSN-L); https://aaltodoc.aalto.fi/handle/123456789/116520; URN:ISBN:978-952-64-0896-5
Availability: https://aaltodoc.aalto.fi/handle/123456789/116520
Contributors: Insinööritieteiden korkeakoulu, School of Engineering, Konetekniikan laitos, Department of Mechanical Engineering, Marine Technology, Aalto-yliopisto, Aalto University
Subject Terms: Marine engineering, Mechanical engineering, UGENS subroutine, homogenization, sandwich structure, periodic structure, multiscale modelling, nonlinear analysis, ultimate strength
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Relation: Aalto University publication series SCIENCE + TECHNOLOGY; 9/2016; 1799-490X (electronic); 1799-4896 (ISSN-L); https://aaltodoc.aalto.fi/handle/123456789/21571; URN:ISBN:978-952-60-6905-0
Availability: https://aaltodoc.aalto.fi/handle/123456789/21571
Authors: Jerne, Alexander
Contributors: Parmasto, Oliver, Insinööritieteiden korkeakoulu, Romanoff, Jani, Aalto-yliopisto, Aalto University
Subject Terms: passenger ship, elastic buckling, nonlinear analysis, load carrying mechanisms
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Relation: https://aaltodoc.aalto.fi/handle/123456789/103101; URN:NBN:fi:aalto-202103212380
Availability: https://aaltodoc.aalto.fi/handle/123456789/103101
Authors: Lindfors, Casimir
Contributors: Kuusi, Tuomo, Prof., University of Oulu, Finland, Perustieteiden korkeakoulu, School of Science, Matematiikan ja systeemianalyysin laitos, Department of Mathematics and Systems Analysis, Kinnunen, Juha, Prof., Aalto University, Department of Mathematics and Systems Analysis, Finland, Nonlinear PDE research group, Aalto-yliopisto, Aalto University
Subject Terms: Mathematics, partial differential equations, nonlinear analysis, regularity theory, parabolic equations, p-Laplace equation, Orlicz spaces, general growth conditions, regularity of solutions, obstacle problem, phase transtition, Stefan problem, boundary regularity, method of intrinsic scaling, osittaisdifferentiaaliyhtälöt, epälineaarinen analyysi, säännöllisyysteoria, paraboliset yhtälöt, p-Laplace-yhtälö, Orlicz-avaruudet, yleiset kasvuehdot, ratkaisujen säännöllisyys, esteongelma, faasitransitio, Stefan ongelma, reunasäännöllisyys, intrinsic scaling -menetelmä
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Relation: Aalto University publication series DOCTORAL DISSERTATIONS; 62/2018; [Publication 1]: Paolo Baroni and Casimir Lindfors. The Cauchy-Dirichlet problem for a general class of parabolic equations. Annales de l’Institut Henri Poincaré (C) Analyse Non Linéaire, Volume 34, Issue 3, pages 593–624, May–June 2017. DOI:10.1016/j.anihpc.2016.03.003; [Publication 2]: Casimir Lindfors. Obstacle problem for a class of parabolic equations of generalized p-Laplacian type. Journal of Differential Equations, Volume 261, Issue 10, pages 5499–5540, November 2016. DOI:10.1016/j.jde.2016.08.015; [Publication 3]: Paolo Baroni, Tuomo Kuusi, Casimir Lindfors and José Miguel Urbano. Existence and boundary regularity for degenerate phase transitions. SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, pages 456–490, January 2018. DOI:10.1137/17M1121585; 1799-4942 (electronic); 1799-4934 (printed); 1799-4934 (ISSN-L); https://aaltodoc.aalto.fi/handle/123456789/30616; URN:ISBN:978-952-60-7928-8
Availability:
https://doi.org/10.1016/j.anihpc.2016.03.003
https://doi.org/10.1016/j.jde.2016.08.015
https://doi.org/10.1137/17M1121585
https://aaltodoc.aalto.fi/handle/123456789/30616
Authors: Masson, Mathias
Contributors: Kinnunen, Juha, Prof., Aalto University, Finland, Perustieteiden korkeakoulu, School of Science, Matematiikan ja systeemianalyysin laitos, Department of Mathematics and Systems Analysis, Aalto-yliopisto, Aalto University
Subject Terms: Mathematics, partial differential equations, parabolic, nonlinear analysis, evolution p-Laplacian, doubly nonlinear, regularity theory, calculus of variations, energy estimates, quasiminimizers, metric spaces, doubling measure, Poincaré inequality, upper gradients, Newtonian spaces, Hölder continuity, Harnack estimate, higher integrability, boundary regularity, comparison principle, uniqueness, osittaisdifferentiaaliyhtälöt, parabolinen, epälineaarinen analyysi, evoluutio p-Laplace, kahdesti epälineaarinen, säännöllisyysteoria, variaatiolaskenta, energiaestimaatit, kvasiminimoijat
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Relation: Aalto University publication series DOCTORAL DISSERTATIONS; 89/2013; [Publication 1]: Mathias Masson and Juhana Siljander. H¨older regularity for parabolic De Giorgi classes in metric measure spaces. Manuscripta Mathematica, DOI 10.1007/s00229-012-0598-2, November 2012.; [Publication 2]: Niko Marola and Mathias Masson. On the Harnack inequality for parabolic minimizers in metric measure spaces. To appear in Tohoku Mathematical Journal, January 2013.; [Publication 3]: Mathias Masson, Michele Miranda jr, Fabio Paronetto and Mikko Parviainen. Local higher integrability for parabolic quasiminimizers in metric spaces. Ricerche di Matematica, DOI 10.1007/s11587-013-0150-z, April 2013.; [Publication 4]: Mathias Masson and Mikko Parviainen. Global higher integrability for parabolic quasiminimizers in metric measure spaces. To appear in Journal d’Analyse Math´ematique, February 2013.; [Publication 5]: Juha Kinnunen and Mathias Masson. Parabolic comparison principle and quasiminimizers in metric measure spaces. To appear in Proceedings of the American Mathematical Society, January 2013.; 1799-4942 (electronic); 1799-4934 (printed); 1799-4934 (ISSN-L); https://aaltodoc.aalto.fi/handle/123456789/10224; URN:ISBN:978-952-60-5185-7
Availability:
https://doi.org/10.1007/s00229-012-0598-2,
https://doi.org/10.1007/s11587-013-0150-z,
https://aaltodoc.aalto.fi/handle/123456789/10224