Shape derivatives for nonsmooth domains

Optimal Control of Partial Differential Equations - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0043213 ◽

2006 ◽

pp. 38-55 ◽

Cited By ~ 2

Author(s):

M. C. Delfour ◽

J. P. Zolésio

Keyword(s):

Shape Derivatives ◽

Nonsmooth Domains

Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2019.09.002 ◽

2020 ◽

Vol 134 ◽

pp. 328-368

Author(s):

Antoine Laurain

Keyword(s):

Second Order ◽

Shape Derivatives ◽

Nonsmooth Domains

Structure of shape derivatives for nonsmooth domains

Journal of Functional Analysis ◽

10.1016/0022-1236(92)90087-y ◽

1992 ◽

Vol 104 (1) ◽

pp. 1-33 ◽

Cited By ~ 30

Author(s):

M.C Delfour ◽

J.P Zolésio

Keyword(s):

Shape Derivatives ◽

Nonsmooth Domains

Comparison of Shape Derivatives Using CutFEM for Ill-posed Bernoulli Free Boundary Problem

Journal of Scientific Computing ◽

10.1007/s10915-021-01544-6 ◽

2021 ◽

Vol 88 (2) ◽

Author(s):

Erik Burman ◽

Cuiyu He ◽

Mats G. Larson

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Shape Derivatives ◽

Ill Posed ◽

Bernoulli Free Boundary

Classical solutions of oblique derivative problem in nonsmooth domains with mean Dini coefficients

Transactions of the American Mathematical Society ◽

10.1090/tran/8042 ◽

2020 ◽

Vol 373 (7) ◽

pp. 4975-4997

Author(s):

Hongjie Dong ◽

Zongyuan Li

Keyword(s):

Classical Solutions ◽

Oblique Derivative Problem ◽

Derivative Problem ◽

Nonsmooth Domains

Singular solutions for semi-linear parabolic equations on nonsmooth domains

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.11.035 ◽

2007 ◽

Vol 333 (2) ◽

pp. 604-613 ◽

Cited By ~ 2

Author(s):

Lotfi Riahi

Keyword(s):

Parabolic Equations ◽

Singular Solutions ◽

Nonsmooth Domains ◽

Linear Parabolic Equations

Proper holomorphic mappings between some nonsmooth domains

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/bf01765940 ◽

1989 ◽

Vol 155 (1) ◽

pp. 193-203 ◽

Cited By ~ 3

Author(s):

Mario Landucci

Keyword(s):

Holomorphic Mappings ◽

Nonsmooth Domains ◽

Proper Holomorphic Mappings

Contributions of V. Maz’ya to the theory of boundary value problems in nonsmooth domains

The Maz’ya Anniversary Collection ◽

10.1007/978-3-0348-8675-8_5 ◽

1999 ◽

pp. 53-98

Author(s):

Jürgen Rossmann

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Nonsmooth Domains

All self-adjoint extensions of the magnetic Laplacian in nonsmooth domains and gauge transformations

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE ◽

10.2422/2036-2145.201908_008 ◽

2021 ◽

pp. 34

Author(s):

César R. de Oliveira ◽

Wagner Monteiro

Keyword(s):

Gauge Transformations ◽

Nonsmooth Domains

Hölder regularity of the solutions of some classes of elliptic systems in convex nonsmooth domains

Nonlinear Analysis ◽

10.1016/j.na.2004.09.056 ◽

2005 ◽

Vol 60 (5) ◽

pp. 925-944 ◽

Cited By ~ 16

Author(s):

S. Leonardi ◽

J. Kottas ◽

J. Stará

Keyword(s):

Elliptic Systems ◽

Hölder Regularity ◽

Nonsmooth Domains ◽

Holder Regularity

Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2021.103505 ◽

2022 ◽

Vol 65 ◽

pp. 103505

Author(s):

Viktor Shcherbakov

Keyword(s):

Elastic Shells ◽

Shape Derivatives ◽

Regularity Of Minimizers ◽

Derivatives Of