Optimal Control of Doubly Nonlinear Evolution Equations Governed by Subdifferentials Without Uniqueness of Solutions

IFIP Advances in Information and Communication Technology - System Modeling and Optimization ◽

10.1007/978-3-319-55795-3_24 ◽

2016 ◽

pp. 261-271

Author(s):

M. Hassan Farshbaf-Shaker ◽

Noriaki Yamazaki

Keyword(s):

Optimal Control ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Uniqueness Of Solutions ◽

Doubly Nonlinear ◽

Doubly Nonlinear Evolution Equations

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Subdifferential calculus and doubly nonlinear evolution equations inLp-spaces with variable exponents

Journal of Functional Analysis ◽

10.1016/j.jfa.2014.04.015 ◽

2014 ◽

Vol 267 (1) ◽

pp. 173-213 ◽

Cited By ~ 3

Author(s):

Goro Akagi ◽

Giulio Schimperna

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Variable Exponents ◽

Subdifferential Calculus ◽

Doubly Nonlinear ◽

Doubly Nonlinear Evolution Equations

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On doubly nonlinear evolution equations with non-potential or dynamic relation between the state variables

Journal of Evolution Equations ◽

10.1007/s00028-016-0342-6 ◽

2016 ◽

Vol 17 (2) ◽

pp. 869-881

Author(s):

Aleš Matas ◽

Jochen Merker

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

The State ◽

Nonlinear Evolution Equations ◽

State Variables ◽

Dynamic Relation ◽

Doubly Nonlinear ◽

Doubly Nonlinear Evolution Equations

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Super and ultracontractive bounds for doubly nonlinear evolution equations

Revista Matemática Iberoamericana ◽

10.4171/rmi/451 ◽

2006 ◽

pp. 111-129

Author(s):

Gabriele Grillo ◽

Matteo Bonforte

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Doubly Nonlinear ◽

Doubly Nonlinear Evolution Equations

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Global attractors for doubly nonlinear evolution equations with non-monotone perturbations

Journal of Differential Equations ◽

10.1016/j.jde.2010.10.019 ◽

2011 ◽

Vol 250 (4) ◽

pp. 1850-1875 ◽

Cited By ~ 5

Author(s):

Goro Akagi

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Global Attractors ◽

Nonlinear Evolution Equations ◽

Doubly Nonlinear ◽

Doubly Nonlinear Evolution Equations

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Convergence of a Time Discretisation for Doubly Nonlinear Evolution Equations of Second Order

Foundations of Computational Mathematics ◽

10.1007/s10208-010-9061-5 ◽

2010 ◽

Vol 10 (2) ◽

pp. 171-190 ◽

Cited By ~ 9

Author(s):

Etienne Emmrich ◽

Mechthild Thalhammer

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Second Order ◽

Nonlinear Evolution Equations ◽

Time Discretisation ◽

Doubly Nonlinear ◽

Doubly Nonlinear Evolution Equations

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Periodic solutions for doubly nonlinear evolution equations

Journal of Differential Equations ◽

10.1016/j.jde.2011.04.014 ◽

2011 ◽

Vol 251 (7) ◽

pp. 1790-1812 ◽

Cited By ~ 7

Author(s):

Goro Akagi ◽

Ulisse Stefanelli

Keyword(s):

Periodic Solutions ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Doubly Nonlinear ◽

Doubly Nonlinear Evolution Equations

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Solvability of Doubly Nonlinear Evolution Equations with Monotone Operators

Differential Equations ◽

10.1023/b:dieq.0000012691.13025.81 ◽

2003 ◽

Vol 39 (9) ◽

pp. 1237-1248

Author(s):

A. V. Kuznetsov

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Monotone Operators ◽

Nonlinear Evolution Equations ◽

Doubly Nonlinear ◽

Doubly Nonlinear Evolution Equations

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A metric approach to a class of doubly nonlinear evolution equations and applications

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE ◽

10.2422/2036-2145.2008.1.04 ◽

2009 ◽

pp. 97-169

Author(s):

Riccarda Rossi ◽

Alexander Mielke ◽

Giuseppe Savaré

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Doubly Nonlinear ◽

Doubly Nonlinear Evolution Equations

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Doubly nonlinear evolution equations with non-monotone perturbations in reflexive Banach spaces

Journal of Evolution Equations ◽

10.1007/s00028-010-0079-6 ◽

2010 ◽

Vol 11 (1) ◽

pp. 1-41 ◽

Cited By ~ 7

Author(s):

Goro Akagi

Keyword(s):

Banach Spaces ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Reflexive Banach Spaces ◽

Doubly Nonlinear ◽

Doubly Nonlinear Evolution Equations

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New Class of Doubly Nonlinear Evolution Equations Governed by Time-Dependent Subdifferentials

Springer INdAM Series - Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs ◽

10.1007/978-3-319-64489-9_11 ◽

2017 ◽

pp. 281-304

Author(s):

Nobuyuki Kenmochi ◽

Ken Shirakawa ◽

Noriaki Yamazaki

Keyword(s):

Evolution Equations ◽

Nonlinear Evolution ◽

Nonlinear Evolution Equations ◽

Time Dependent ◽

New Class ◽

Doubly Nonlinear ◽

Doubly Nonlinear Evolution Equations

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