4 edition of **Regularity estimates for nonlinear elliptic and parabolic problems** found in the catalog.

- 177 Want to read
- 29 Currently reading

Published
**2012**
by Springer in Heidelberg, New York
.

Written in English

- Nonlinear Differential equations,
- Differential equations,
- Elliptic Differential equations,
- Parabolic Differential equations,
- Qualitative theory

**Edition Notes**

Statement | John Lewis ... [et al.] ; editors, Ugo Gianazza, John Lewis |

Series | Lecture notes in mathematics -- 2045, Lecture notes in mathematics (Springer-Verlag) -- 2045. |

Contributions | Centro internazionale matematico estivo |

Classifications | |
---|---|

LC Classifications | QA377 .R448 2012, QA3 .L28 no.2045 |

The Physical Object | |

Pagination | xi, 247 p. : |

Number of Pages | 247 |

ID Numbers | |

Open Library | OL25363955M |

ISBN 10 | 3642271448 |

ISBN 10 | 9783642271441, 9783642271458 |

LC Control Number | 2012933109 |

OCLC/WorldCa | 785513418 |

DOI: /X(94)F Corpus ID: Regularity of the solutions to nonlinear elliptic equations with a lower-order term @inproceedings{CirmiRegularityOT, title={Regularity of the solutions to nonlinear elliptic equations with a lower-order term}, author={G. Rita Cirmi}, year={} }. In this paper we obtain Meyers type regularity estimates for ap- proximate solutions of nonlinear elliptic equations. These estimates are used in the analysis of a numerical scheme obtained from a.

The smoothness of solutions for quasilinear systems is one of the most important problems in modern mathematical physics. This book deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid mechanics, hydrodynamics, elasticity and plasticity are described. This book concentrates on first boundary-value problems for fully nonlinear second-order uniformly elliptic and parabolic equations with discontinuous coefficients. We look for solutions in Sobolev classes, local or global, or for viscosity solutions.

The book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be fruitfully applied to the study of parabolic problems. Particular attention is paid to optimal regularity results in linear equations. Furthermore, these results are used to study several other problems, especially fully nonlinear ones.3/5(1). Regularity theory for elliptic and parabolic systems and problems in continuum mechanics Workshop, 27th April { 30th April , Tel c Chris van der Heide Partial regularity for nonlinear elliptic systems with p(x)-growth Riesz potential type estimates for parabolic .

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Regularity Estimates for Nonlinear Elliptic and Parabolic Problems In particular considerable strides have been made in regularity estimates for degenerate and singular elliptic and parabolic equations over the last several years, and in many unexpected and challenging directions.

35J92, 35K65, 35K67, 35K86, 35K92, 49K20, 49N60 Boundary. Regularity Estimates for Nonlinear Elliptic and Parabolic Problems: Cetraro, Italy (Lecture Notes in Mathematics, Vol. / C.I.M.E. Foundation Subseries) 1st EditionAuthor: John Lewis. About this book. About this book. The issue of regularity has played a central role in the theory of Partial Differential Equations almost since its inception, and despite the tremendous advances made it still remains a very fruitful research field.

In particular considerable strides have been made in regularity estimates for degenerate and singular elliptic and parabolic equations over the last several years. springer, The issue of regularity has played a central role in the theory of Partial Differential Equations almost since its inception, and despite the tremendous advances made it still remains a very fruitful research field.

In particular considerable strides have been made in regularity estimates for degenerate and singular elliptic and parabolic equations over the last several years, and in. REGULARITY ESTIMATES for NONLINEAR ELLIPTIC and PARABOLIC PROBLEMS Course organizers John Lewis Mathematics Department University of Kentucky Patterson O ce Tower, Lexington, KYUSA.

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Course description The issue of regularity has obviously played a central role in the theory of Partial Differential Equations, almost since its inception, and despite the tremendous development, it still remains a very fruitful research field.

Regularity estimates for degenerate and singular elliptic and parabolic. Most articles published in this book, which consists of 32 articles in total, written by highly distinguished researchers, are in one way or another related to the scientific works of Herbert Amann.

The contributions cover a wide range of nonlinear elliptic and parabolic equations with applications to natural sciences and engineering. The H older estimate and Harnack inequality by Krylov and Safonov have mul-tiple applications.

It is a central result in the study of regularity of solutions to fully non linear elliptic equations. These are equations of the form F(D2u) = 0 where F is an arbitrary nonlinear function which satis es I @[email protected] ij I.

Recent progress on nonlinear elliptic and parabolic problems and related abstract methods E. Norman Dancer (University of Sydney), elliptic and parabolic estimates. On some parabolic equations motivated by biological problems: We consider nonlinear parabolic equations that model some physical problems for which boundary effects are.

Bibliographic Data J Elliptic Parabol Equ 1 volume per year, 2 issues per volume approx. pages per volume Format: x cm. Publishes high quality papers on elliptic and parabolic issues.

It includes theoretical aspects as well as applications and numerical analysis. This book unifies the different approaches in studying elliptic and parabolic partial differential equations with discontinuous coefficients. To the enlarging market of researchers in applied sciences, mathematics and physics, it gives concrete answers to questions suggested by non-linear.

Quasilinear elliptic double obstacle problems with variable exponent and logarithmic growth are studied. We obtain a global Calderón-Zygmund estimate for such an irregular obstacle problem by proving that the gradient of the solution is as integrable as both the nonhomogeneous term and the gradient of the associated double obstacles under minimal regularity requirements on the elliptic.

() Morrey regularity for nonlinear elliptic equations with partial BMO nonlinearities under controlled growth. Nonlinear Analysis() Weighted W 1, p estimates for weak solutions of degenerate elliptic equations with coefficients degenerate in one variable.

We study a nonlinear elliptic double obstacle problem with irregular data and establish an optimal Calderón–Zygmund theory. The partial differential operator is of the p-Laplacian type and includes merely measurable coefficients in one prove that the gradient of a weak solution is as integrable as both the gradient of assigned two obstacles and the nonhomogeneous divergence.

5 Decay estimates for systems with constant coecients 43 6 Regularity up to the boundary 45 7 Interior regularity for nonlinear problems 49 8 H¨older, Morrey and Campanato spaces 51 9 XIX Hilbert problem and its solution in the two-dimensional case 57 10 Schauder theory 61 11 Regularity in.

Regularity estimates for nonlinear elliptic and parabolic problems: Cetraro, Italy [John L Lewis; Ugo Gianazza;] -- The issue of regularity has played a central role in the theory of Partial Differential Equations almost since its inception, and despite the tremendous advances made it still remains a very fruitful.

We obtain existence and uniqueness of solutions with compact support for some nonlinear elliptic and parabolic problems including the equations of one-dimensional motion of a non-newtonian fluid. Precise estimates for the support of these solutions are obtained, and the optimality of. Regularity estimates for nonlinear elliptic and parabolic problems: Cetraro, Italy Author: Ugo Gianazza ; John Lewis ; Centro Internazionale Matematico Estivo.

Elliptic regularity II (boundary estimates) Elliptic regularity III (DeGiorgi-Nash-Moser theory) The Dirichlet problem for quasi-linear elliptic equations; Direct methods in the calculus of variations; Quasi-linear elliptic systems; Elliptic regularity IV (Krylov-Safonov estimates) Regularity for a class of completely nonlinear equations; Monge.

nonlinear Calder on-Zygmund theory for general elliptic and parabolic equations with variable growths. In recent decades, a lot of attention has been paid to a sys-tematic study on the Calder on-Zygmund theory for nonlinear elliptic and parabolic problems with nonstandard growths.

For instance, some regularities regarding gen. [1] Sun-Sig Byun, Yumi Cho, Shuang ón-Zygmund estimates for quasilinear elliptic double obstacle problems with variable exponent and logarithmic growth.

Discrete & Continuous Dynamical Systems - B,22 (11): It deals with the use of pseudodifferential operators as a tool in nonlinear PDE. One goal has been to build a bridge between two approaches that have been used in a number of works, one being the theory of paradifferential operators, introduced by J.-M.

Bony, the other the study of pseudodifferential operators whose symbols have limited. We prove an interior Calderón–Zygmund type estimate in Sobolev space for the spatial gradient of weak solutions to quasilinear parabolic equations with an asymptotically regular nonlinearity by constructing a regular problem via Poisson’s formula.