On classes of well-posedness for quasilinear diffusion equations in the whole space

Boris Andreianov;  ; Mohamed Maliki;  ;

doi:10.3934/dcdss.2020361

On classes of well-posedness for quasilinear diffusion equations in the whole space

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2020361 ◽

2021 ◽

Vol 14 (2) ◽

pp. 505-531

Author(s):

Boris Andreianov ◽

◽

Mohamed Maliki ◽

◽

Keyword(s):

Diffusion Equations ◽

Well Posedness ◽

Whole Space ◽

Quasilinear Diffusion

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Global existence for quasilinear diffusion equations in isotropic nondivergence form

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE ◽

10.2422/2036-2145.2010.3.04 ◽

2010 ◽

pp. 523-539

Author(s):

Wolfgang Arendt ◽

Ralph Chill

Keyword(s):

Global Existence ◽

Diffusion Equations ◽

Nondivergence Form ◽

Quasilinear Diffusion

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Well-posedness of a system of transport and diffusion equations in space of measures

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124397 ◽

2020 ◽

Vol 492 (1) ◽

pp. 124397

Author(s):

Azmy S. Ackleh ◽

Nicolas Saintier

Keyword(s):

Diffusion Equations ◽

Well Posedness ◽

Transport And Diffusion ◽

And Diffusion

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Separation of variables and exact solutions to quasilinear diffusion equations with nonlinear source

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(00)00069-5 ◽

2000 ◽

Vol 144 (1-2) ◽

pp. 97-123 ◽

Cited By ~ 97

Author(s):

Changzheng Qu ◽

Shunli Zhang ◽

Ruochen Liu

Keyword(s):

Exact Solutions ◽

Separation Of Variables ◽

Diffusion Equations ◽

Nonlinear Source ◽

Quasilinear Diffusion

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Local Hadamard well--posedness and blow--up for reaction--diffusion equations with non--linear dynamical boundary conditions

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2013.33.5015 ◽

2013 ◽

Vol 33 (11/12) ◽

pp. 5015-5047 ◽

Cited By ~ 4

Author(s):

Enzo Vitillaro ◽

Alessio Fiscella

Keyword(s):

Boundary Conditions ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Well Posedness ◽

Non Linear ◽

Dynamical Boundary Conditions

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Weighted Ultrafast Diffusion Equations: From Well-Posedness to Long-Time Behaviour

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-018-01341-w ◽

2018 ◽

Vol 232 (3) ◽

pp. 1165-1206 ◽

Cited By ~ 1

Author(s):

Mikaela Iacobelli ◽

Francesco S. Patacchini ◽

Filippo Santambrogio

Keyword(s):

Diffusion Equations ◽

Well Posedness ◽

Time Behaviour ◽

Long Time Behaviour ◽

Long Time

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Well-posedness of singular diffusion equations in porous media with homogeneous Neumann boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2009.12.033 ◽

2010 ◽

Vol 72 (7-8) ◽

pp. 3491-3514 ◽

Cited By ~ 5

Author(s):

Gabriela Marinoschi

Keyword(s):

Porous Media ◽

Boundary Conditions ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Diffusion Equations ◽

Well Posedness ◽

Singular Diffusion ◽

Singular Diffusion Equations

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Well-posedness and regularity of Caputo-Hadamard time-fractional diffusion equations

Fractals ◽

10.1142/s0218348x22500050 ◽

2021 ◽

Author(s):

Zhiwei Yang ◽

Xiangcheng Zheng ◽

Hong Wang

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

Well Posedness ◽

Fractional Diffusion Equations

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The existence of uniform attractors for non-autonomous reaction-diffusion equations on the whole space

Journal of Mathematical Physics ◽

10.1063/1.4746693 ◽

2012 ◽

Vol 53 (8) ◽

pp. 082703 ◽

Cited By ~ 3

Author(s):

Yongqin Xie ◽

Kaixuan Zhu ◽

Chunyou Sun

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Whole Space ◽

Uniform Attractors

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Well-Posedness and Asymptotic Behavior for Stochastic Reaction-Diffusion Equations with Multiplicative Poisson Noise

Electronic Journal of Probability ◽

10.1214/ejp.v15-818 ◽

2010 ◽

Vol 15 (0) ◽

pp. 1529-1555 ◽

Cited By ~ 17

Author(s):

Carlo Marinelli ◽

Michael Roeckner

Keyword(s):

Asymptotic Behavior ◽

Reaction Diffusion ◽

Poisson Noise ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Well Posedness ◽

Stochastic Reaction

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Some results about the approximate controllability property for quasilinear diffusion equations

Comptes Rendus de l Académie des Sciences - Series I - Mathematics ◽

10.1016/s0764-4442(99)80407-8 ◽

1997 ◽

Vol 324 (11) ◽

pp. 1243-1248 ◽

Cited By ~ 2

Author(s):

Jesús Ildefonso Díaz ◽

Ángel Manuel Ramos

Keyword(s):

Approximate Controllability ◽

Diffusion Equations ◽

Quasilinear Diffusion ◽

Controllability Property

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