Existence of Solutions to Time-Dependent Nonlinear Diffusion Equations via Convex Optimization

Author:

Marinoschi Gabriela

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Reference17 articles.

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2. Brezis, H., Ekeland, I.: Un principe variationnel associé à certaines equations paraboliques. Le cas dependant du temps. C. R. Acad. Sci. Paris Sér. A 282, 1197–1198 (1976)

3. Nayroles, B.: Deux théorèmes de minimum pour certains systémes dissipatifs. C. R. Acad. Sci. Paris Sér. A–B 282, A1035–A1038 (1976)

4. Auchmuty, G.: Variational principles for operator equations and initial value problems. Nonlinear Anal. 12, 531–564 (1988)

5. Auchmuty, G.: Saddle points and existence-uniqueness for evolution equations. Differ. Integral Equ. 6, 1161–1171 (1993)

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1. A Variational Approach to Neumann Stochastic Semi-Linear Equations Modeling the Thermostatic Control;Journal of Optimization Theory and Applications;2015-07-29

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3. Doubly Nonlinear Equations as Convex Minimization;SIAM Journal on Mathematical Analysis;2014-01

4. Variational Solutions to Nonlinear Diffusion Equations with Singular Diffusivity;Journal of Optimization Theory and Applications;2013-09-28

5. Degenerate Nonlinear Diffusion Equations;Lecture Notes in Mathematics;2012

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