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Optimal control of a reaction–diffusion model related to the spread of COVID-19.
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- Analysis & Applications, 2024, v. 22, n. 1, p. 111, doi. 10.1142/S0219530523500197
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Existence of Solutions for a Mathematical Model Related to Solid-Solid Phase Transitions in Shape Memory Alloys.
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- Archive for Rational Mechanics & Analysis, 2016, v. 219, n. 1, p. 203, doi. 10.1007/s00205-015-0896-4
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Distributed optimal control problems for phase field systems with singular potential.
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- Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018, v. 26, n. 2, p. 71, doi. 10.2478/auom-2018-0019
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SINGULAR LIMIT OF AN INTEGRODIFFERENTIAL SYSTEM RELATED TO THE ENTROPY BALANCE.
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- Discrete & Continuous Dynamical Systems - Series B, 2014, v. 19, n. 7, p. 1935, doi. 10.3934/dcdsb.2014.19.1935
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MODELLING AND LONG-TIME BEHAVIOUR FOR PHASE TRANSITIONS WITH ENTROPY BALANCE AND THERMAL MEMORY CONDUCTIVITY.
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- Discrete & Continuous Dynamical Systems - Series B, 2006, v. 6, n. 5, p. 1001
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On a PenroseFife type system with Dirichlet boundary conditions for temperature.
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- Mathematical Methods in the Applied Sciences, 2003, v. 26, n. 15, p. 1303
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Hysteresis in phase-field models with thermal memory.
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- Mathematical Methods in the Applied Sciences, 2000, v. 23, n. 10, p. 909, doi. 10.1002/1099-1476(20000710)23:10<909::AID-MMA142>3.0.CO;2-E
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EXISTENCE AND UNIQUENESS OF A GLOBAL-IN-TIME SOLUTION TO A PHASE SEGREGATION PROBLEM OF THE ALLEN–CAHN TYPE.
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- Mathematical Models & Methods in Applied Sciences, 2010, v. 20, n. 4, p. 519, doi. 10.1142/S0218202510004325
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Distributed optimal control of a nonstandard system of phase field equations.
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- Continuum Mechanics & Thermodynamics, 2012, v. 24, n. 4-6, p. 437, doi. 10.1007/s00161-011-0215-8
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Well-posedness and long-time behaviour for a singular phase field system of conserved type.
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- IMA Journal of Applied Mathematics, 2007, v. 72, n. 4, p. 498, doi. 10.1093/imamat/hxm015
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WELL-POSEDNESS AND REGULARITY FOR A FRACTIONAL TUMOR GROWTH MODEL.
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- Advances in Mathematical Sciences & Applications, 2019, v. 28, n. 2, p. 343
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Well-posedness for a class of phase-field systems modeling prostate cancer growth with fractional operators and general nonlinearities.
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- Rendiconti Lincei - Matematica e Applicazioni, 2022, v. 33, n. 1, p. 193, doi. 10.4171/RLM/969
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A Distributed Control Problem for a Fractional Tumor Growth Model.
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- Mathematics (2227-7390), 2019, v. 7, n. 9, p. 792, doi. 10.3390/math7090792
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Constrained Evolution for a Quasilinear Parabolic Equation.
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- Journal of Optimization Theory & Applications, 2016, v. 170, n. 3, p. 713, doi. 10.1007/s10957-016-0970-6
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- Article
Analysis of a time discretization scheme for a nonstandard viscous Cahn–Hilliard system.
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- ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2014, v. 48, n. 4, p. 1061, doi. 10.1051/m2an/2014005
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OPTIMAL CONTROL FOR A CONSERVED PHASE FIELD SYSTEM WITH A POSSIBLY SINGULAR POTENTIAL.
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- Evolution Equations & Control Theory, 2018, v. 7, n. 1, p. 95, doi. 10.3934/eect.2018006
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DISTRIBUTED OPTIMAL CONTROL OF A NONSTANDARD NONLOCAL PHASE FIELD SYSTEM WITH DOUBLE OBSTACLE POTENTIAL.
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- Evolution Equations & Control Theory, 2017, v. 6, n. 1, p. 35, doi. 10.3934/eect.2017003
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A VANISHING DIFFUSION LIMIT IN A NONSTANDARD SYSTEM OF PHASE FIELD EQUATIONS.
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- Evolution Equations & Control Theory, 2014, v. 3, n. 2, p. 257, doi. 10.3934/eect.2014.3.257
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Well-posedness and optimal control for a viscous Cahn–Hilliard–Oono system with dynamic boundary conditions.
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- Discrete & Continuous Dynamical Systems - Series S, 2023, v. 16, n. 12, p. 1, doi. 10.3934/dcdss.2023127
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Nutrient control for a viscous Cahn–Hilliard–Keller–Segel model with logistic source describing tumor growth.
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- Discrete & Continuous Dynamical Systems - Series S, 2023, v. 16, n. 12, p. 1, doi. 10.3934/dcdss.2023123
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Optimal control of a nonconserved phase field model of Caginalp type with thermal memory and double obstacle potential.
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- Discrete & Continuous Dynamical Systems - Series S, 2023, v. 16, n. 9, p. 1, doi. 10.3934/dcdss.2022210
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Well-posedness and optimal control for a Cahn–Hilliard–Oono system with control in the mass term.
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- Discrete & Continuous Dynamical Systems - Series S, 2022, v. 15, n. 8, p. 2135, doi. 10.3934/dcdss.2022001
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Deep quench approximation and optimal control of general Cahn–Hilliard systems with fractional operators and double obstacle potentials.
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- Discrete & Continuous Dynamical Systems - Series S, 2021, v. 14, n. 1, p. 243, doi. 10.3934/dcdss.2020213
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ASYMPTOTIC ANALYSES AND ERROR ESTIMATES FOR A CAHN-HILLIARD TYPE PHASE FIELD SYSTEM MODELLING TUMOR GROWTH.
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- Discrete & Continuous Dynamical Systems - Series S, 2017, v. 10, n. 1, p. 37, doi. 10.3934/dcdss.2017002
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Global Solution and Optimal Control of an Epidemic Propagation with a Heterogeneous Diffusion.
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- Applied Mathematics & Optimization, 2024, v. 89, n. 1, p. 1, doi. 10.1007/s00245-023-10094-2
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- Article
Optimal Temperature Distribution for a Nonisothermal Cahn–Hilliard System with Source Term.
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- Applied Mathematics & Optimization, 2023, v. 88, n. 2, p. 1, doi. 10.1007/s00245-023-10039-9
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Optimal Distributed Control of a Generalized Fractional Cahn–Hilliard System.
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- Applied Mathematics & Optimization, 2020, v. 82, n. 2, p. 551, doi. 10.1007/s00245-018-9540-7
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Sliding Mode Control for a Phase Field System Related to Tumor Growth.
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- Applied Mathematics & Optimization, 2019, v. 79, n. 3, p. 647, doi. 10.1007/s00245-017-9451-z
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A Boundary Control Problem for the Viscous Cahn-Hilliard Equation with Dynamic Boundary Conditions.
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- Applied Mathematics & Optimization, 2016, v. 73, n. 2, p. 195, doi. 10.1007/s00245-015-9299-z
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Well‐posedness for a diffusion–reaction compartmental model simulating the spread of COVID‐19.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 12, p. 12529, doi. 10.1002/mma.9196
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LONGTIME BEHAVIOR FOR A GENERALIZED CAHN-HILLIARD SYSTEM WITH FRACTIONAL OPERATORS.
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- AAPP Physical, Mathematical & Natural Sciences / Atti della Accademia Peloritana dei Pericolanti: Classe di Scienze Fisiche, Matematiche e Naturali, 2020, v. 98, p. 1, doi. 10.1478/AAPP.98S2A4
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ON AN ALLEN-CAHN TYPE INTEGRODIFFERENTIAL EQUATION.
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- Discrete & Continuous Dynamical Systems - Series S, 2013, v. 6, n. 3, p. 703, doi. 10.3934/dcdss.2013.6.703
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AN ASYMPTOTIC ANALYSIS FOR A NONSTANDARD CAHN-HILLIARD SYSTEM WITH VISCOSITY.
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- Discrete & Continuous Dynamical Systems - Series S, 2013, v. 6, n. 2, p. 353, doi. 10.3934/dcdss.2013.6.353
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ON THE CAHN-HILLIARD EQUATION WITH IRREGULAR POTENTIALS AND DYNAMIC BOUNDARY CONDITIONS.
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- Communications on Pure & Applied Analysis, 2009, v. 8, n. 3, p. 881, doi. 10.3934/cpaa.2009.8.881
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Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions.
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- Chinese Annals of Mathematics, 2010, v. 31, n. 5, p. 679, doi. 10.1007/s11401-010-0602-7
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Recent results on well-posedness and optimal control for a class of generalized fractional Cahn-Hilliard systems.
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- Control & Cybernetics, 2019, v. 48, n. 1, p. 153
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Solvability and sliding mode control for the viscous Cahn–Hilliard system with a possibly singular potential.
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- Mathematical Control & Related Fields, 2021, v. 11, n. 4, p. 905, doi. 10.3934/mcrf.2020051
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OPTIMAL CONTROL FOR A PHASE FIELD SYSTEM WITH A POSSIBLY SINGULAR POTENTIAL.
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- Mathematical Control & Related Fields, 2016, v. 6, n. 1, p. 95, doi. 10.3934/mcrf.2016.6.95
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A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions.
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- Advances in Nonlinear Analysis, 2015, v. 4, n. 4, p. 311, doi. 10.1515/anona-2015-0035
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A continuous dependence result for a nonstandard system of phase field equations.
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- Mathematical Methods in the Applied Sciences, 2014, v. 37, n. 9, p. 1318, doi. 10.1002/mma.2892
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Convergence of phase field to phase relaxation models governed by an entropy equation with memory.
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- Mathematical Methods in the Applied Sciences, 2006, v. 29, n. 18, p. 2149, doi. 10.1002/mma.765
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Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions.
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- Mathematical Models & Methods in Applied Sciences, 1997, v. 7, n. 7, p. 957, doi. 10.1142/S0218202597000487
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