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Calculus of variations

Known as: Calculus of variation, Variational Method, Minimum principle 
Calculus of variations is a field of mathematical analysis that deals with maximizing or minimizing functionals, which are mappings from a set of… Expand
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2019
Review
2019
Recent research in inverse problems seeks to develop a mathematically coherent foundation for combining data-driven models, and… Expand
Review
2019
Review
2019
Deep learning (DL) is playing an increasingly important role in our lives. It has already made a huge impact in areas, such as… Expand
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Review
2018
Review
2018
This book intends to deepen the study of the fractional calculus, giving special emphasis to variable-order operators. It is… Expand
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Highly Cited
2012
Highly Cited
2012
This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self… Expand
Highly Cited
2007
Highly Cited
2007
Measure Theory and Lp Spaces.- Measures.- Lp Spaces.- The Direct Method and Lower Semicontinuity.- The Direct Method and Lower… Expand
Highly Cited
1999
Highly Cited
1999
This is a self-contained paper which introduces a fundamental problem in the calculus of variations, the problem of finding… Expand
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Highly Cited
1984
Highly Cited
1984
Abstract We present here a new method for solving minimization problems in unbounded domains. We first derive a general principle… Expand
Highly Cited
1984
Highly Cited
1984
Soit f:R 3 →R une fonction deux fois continument differentiable et pour u∈W 1,1 (a, b): F(u; a, b)=∫ a b f(x, u(x), u'(x))dx. Si… Expand
Highly Cited
1983
Highly Cited
1983
1. Regular Variational Integrals.- 2. Finite Elasticity and Weak Diffeomorphisms.- 3. The Dirichlet Integral in Sobolev Spaces… Expand
Highly Cited
1966
Highly Cited
1966
Semi-classical results.- The spaces Hmp and Hmp0.- Existence theorems.- Differentiability of weak solutions.- Regularity theorems… Expand