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Nonstandard Calculus of Variations
Journal of Mathematical Sciences, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Oberwolfach Reports, 2011
Since its invention by Newton, the calculus of variations has formed one of the central techniques for studying problems in geometry, physics, and partial differential equations. This trend continues even today. On the one hand, slow but steady progress is made on long-standing questions concerning minimal surfaces, curvature flows, and related ...
Camillo De Lellis +2 more
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Since its invention by Newton, the calculus of variations has formed one of the central techniques for studying problems in geometry, physics, and partial differential equations. This trend continues even today. On the one hand, slow but steady progress is made on long-standing questions concerning minimal surfaces, curvature flows, and related ...
Camillo De Lellis +2 more
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Calculus of variations and image segmentation
Journal of Physiology-Paris, 2003A survey of free discontinuity problems related to image segmentation is given. The main properties and open problems about Mumford and Shah and Blake and Zisserman functionals are shown together with an extensive bibliography about recent mathematical developments.
CARRIERO, Michele +2 more
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Oberwolfach Reports, 2015
The Calculus of Variations is at the same time a classical subject, with long-standing open questions which have generated deep discoveries in recent decades, and a modern subject in which new types of questions arise, driven by mathematical developments and by emergent applications.
Simon Brendle +2 more
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The Calculus of Variations is at the same time a classical subject, with long-standing open questions which have generated deep discoveries in recent decades, and a modern subject in which new types of questions arise, driven by mathematical developments and by emergent applications.
Simon Brendle +2 more
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Infinitesimal Calculus of Variations
International Journal of Theoretical Physics, 1999The author seeks to develop an infinitesimal calculus of variations in the context of synthetic differential geometry (SDG). He assumes that the reader is familiar with the basic underpinnings and philosophy of SDG as developed in the recent text by \textit{R. Lavendhomme} [`Basic concepts of synthetic differential geometry' (Kluwer, Math. Sci.
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Oberwolfach Reports, 2007
The workshop “Calculus of Variations” took place from July 9 to 15, 2006, and was attended by almost fifty participants, mostly from European and North American universities and research institutes. There were 24 lectures on recent research topics, plus a review lecture on the Lieb–Thirring inequalities by Michael Loss (Georgia Tech, Atlanta).
Giovanni Alberti +2 more
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The workshop “Calculus of Variations” took place from July 9 to 15, 2006, and was attended by almost fifty participants, mostly from European and North American universities and research institutes. There were 24 lectures on recent research topics, plus a review lecture on the Lieb–Thirring inequalities by Michael Loss (Georgia Tech, Atlanta).
Giovanni Alberti +2 more
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1973
The calculus of varialions concerns itself with the problem of determining from some previously given class of functions one or more functions which, in a given single or multiple integral, according to the type of functions, yields an extremum; i.e., assumes a maximal or minimal value.
I. N. Bronshtein, K. A. Semendyayev
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The calculus of varialions concerns itself with the problem of determining from some previously given class of functions one or more functions which, in a given single or multiple integral, according to the type of functions, yields an extremum; i.e., assumes a maximal or minimal value.
I. N. Bronshtein, K. A. Semendyayev
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1993
Abstract As we saw in Chapter 1, the calculus of variations is concerned with the optimization of functional. There we used (x, y) for the coordinates of a point in the plane and y = y(x) to represent the equation of a plane curve. In order to set up a uniform notation for the remainder of the book we shall re-name our variables, letting
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Abstract As we saw in Chapter 1, the calculus of variations is concerned with the optimization of functional. There we used (x, y) for the coordinates of a point in the plane and y = y(x) to represent the equation of a plane curve. In order to set up a uniform notation for the remainder of the book we shall re-name our variables, letting
openaire +1 more source