Giuseppe Mingione's Books

Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

Cetraro, Italy 2016

By: José Antonio Carrillo,Manuel del Pino,Alessio Figalli,Giuseppe Mingione,Juan Luis Vázquez

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Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

Cetraro, Italy 2016

By: José Antonio Carrillo,Manuel del Pino,Alessio Figalli,Giuseppe Mingione,Juan Luis Vázquez

Presenting a selection of topics in the area of nonlocal and nonlinear diffusions, this book places a particular emphasis on new emerging subjects such as nonlocal operators in stationary and evolutionary problems and their applications, swarming models and applications to biology and mathematical physics, and nonlocal variational problems. The authors are some of the most well-known mathematicians in this innovative field, which is presently undergoing rapid development. The intended audience includes experts in elliptic and parabolic equations who are interested in extending their expertise to the nonlinear setting, as well as Ph.D. or postdoctoral students who want to enter into the most promising research topics in the field.

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Page Count

288

Publisher

Springer

Published Date

ISBN 10

3319614940

ISBN 13

9783319614946

The Regularity of General Parabolic Systems with Degenerate Diffusion

By: Verena Bögelein,Frank Duzaar,Giuseppe Mingione

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The Regularity of General Parabolic Systems with Degenerate Diffusion

By: Verena Bögelein,Frank Duzaar,Giuseppe Mingione

The aim of the paper is twofold. On one hand the authors want to present a new technique called $p$-caloric approximation, which is a proper generalization of the classical compactness methods first developed by DeGiorgi with his Harmonic Approximation Lemma. This last result, initially introduced in the setting of Geometric Measure Theory to prove the regularity of minimal surfaces, is nowadays a classical tool to prove linearization and regularity results for vectorial problems. Here the authors develop a very far reaching version of this general principle devised to linearize general degenerate parabolic systems. The use of this result in turn allows the authors to achieve the subsequent and main aim of the paper, that is, the implementation of a partial regularity theory for parabolic systems with degenerate diffusion of the type $\partial_t u - \mathrm{div} a(Du)=0$, without necessarily assuming a quasi-diagonal structure, i.e. a structure prescribing that the gradient non-linearities depend only on the the explicit scalar quantity.

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Page Count

155

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821889753

ISBN 13

9780821889756

Parabolic Systems with Polynomial Growth and Regularity

By: Frank Duzaar,Giuseppe Mingione,Klaus Steffen

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Parabolic Systems with Polynomial Growth and Regularity

By: Frank Duzaar,Giuseppe Mingione,Klaus Steffen

The authors establish a series of optimal regularity results for solutions to general non-linear parabolic systems $ u_t- \mathrm{div} \ a(x,t,u,Du)+H=0,$ under the main assumption of polynomial growth at rate $p$ i.e. $ a(x,t,u,Du) \leq L(1+ Du ^{p-1}), p \geq 2.$ They give a unified treatment of various interconnected aspects of the regularity theory: optimal partial regularity results for the spatial gradient of solutions, the first estimates on the (parabolic) Hausdorff dimension of the related singular set, and the first Calderon-Zygmund estimates for non-homogeneous problems are achieved here.

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Page Count

135

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821849670

ISBN 13

9780821849675

The European Social Model and an Economy of Well-being

Repairing the Social Fabric of European Societies

By: Giovanni Bertin,Giuseppe Moro

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The European Social Model and an Economy of Well-being

Repairing the Social Fabric of European Societies

By: Giovanni Bertin,Giuseppe Moro

This timely book critically examines the European Social Model as a contested concept and concrete set of European welfare and governance arrangements. It offers a theoretical and empirical analysis of new economic models and existing European investment strategies to address key issues within post-Covid-19 Europe.

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Page Count

264

Publisher

Edward Elgar Publishing

Published Date

ISBN 10

1800378076

ISBN 13

9781800378070

Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

Cetraro, Italy 2016

By: José Antonio Carrillo,Manuel del Pino,Alessio Figalli,Giuseppe Mingione,Juan Luis Vázquez

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Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

Cetraro, Italy 2016

By: José Antonio Carrillo,Manuel del Pino,Alessio Figalli,Giuseppe Mingione,Juan Luis Vázquez

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N/A

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Solve jigsaw puzzle

Age

Page Count

288

Publisher

Springer

Published Date

ISBN 10

3319614940

ISBN 13

9783319614946

The Regularity of General Parabolic Systems with Degenerate Diffusion

By: Verena Bögelein,Frank Duzaar,Giuseppe Mingione

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The Regularity of General Parabolic Systems with Degenerate Diffusion

By: Verena Bögelein,Frank Duzaar,Giuseppe Mingione

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N/A

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Solve jigsaw puzzle

Age

Page Count

155

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821889753

ISBN 13

9780821889756

Book's by Giuseppe Mingione

Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

The Regularity of General Parabolic Systems with Degenerate Diffusion

The Regularity of General Parabolic Systems with Degenerate Diffusion

Parabolic Systems with Polynomial Growth and Regularity

Parabolic Systems with Polynomial Growth and Regularity

The European Social Model and an Economy of Well-being

The European Social Model and an Economy of Well-being

Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

The Regularity of General Parabolic Systems with Degenerate Diffusion

The Regularity of General Parabolic Systems with Degenerate Diffusion

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