Elliptic approximation of forward-backward parabolic equations

Fabio Paronetto;

doi:10.3934/cpaa.2020047

Elliptic approximation of forward-backward parabolic equations

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020047 ◽

2020 ◽

Vol 19 (2) ◽

pp. 1017-1036

Author(s):

Fabio Paronetto ◽

Keyword(s):

Parabolic Equations ◽

Elliptic Approximation ◽

Backward Parabolic Equations

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Conditional stability for backward parabolic equations with LogLipt×Lipx-coefficients

Nonlinear Analysis ◽

10.1016/j.na.2014.12.013 ◽

2015 ◽

Vol 121 ◽

pp. 101-122 ◽

Cited By ~ 2

Author(s):

Daniele Del Santo ◽

Christian P. Jäh ◽

Martino Prizzi

Keyword(s):

Parabolic Equations ◽

Conditional Stability ◽

Backward Parabolic Equations

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Further existence results for elliptic–parabolic and forward–backward parabolic equations

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-020-01793-7 ◽

2020 ◽

Vol 59 (4) ◽

Author(s):

Fabio Paronetto

Keyword(s):

Parabolic Equations ◽

Existence Results ◽

Backward Parabolic Equations

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Degenerate regularization of forward-backward parabolic equations: the vanishing viscosity limit

Mathematische Annalen ◽

10.1007/s00208-012-0798-9 ◽

2012 ◽

Vol 355 (2) ◽

pp. 551-584 ◽

Cited By ~ 8

Author(s):

Flavia Smarrazzo ◽

Alberto Tesei

Keyword(s):

Parabolic Equations ◽

Vanishing Viscosity ◽

Vanishing Viscosity Limit ◽

Viscosity Limit ◽

Backward Parabolic Equations

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Traces of Entropy Solutions to Second Order Forward-Backward Parabolic Equations

Journal of Mathematical Sciences ◽

10.1007/s10958-015-2633-9 ◽

2015 ◽

Vol 211 (6) ◽

pp. 767-788

Author(s):

I. V. Kuznetsov

Keyword(s):

Parabolic Equations ◽

Second Order ◽

Entropy Solutions ◽

Backward Parabolic Equations

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Nonuniqueness of solutions for a class of forward–backward parabolic equations

Nonlinear Analysis ◽

10.1016/j.na.2015.12.028 ◽

2016 ◽

Vol 137 ◽

pp. 190-212 ◽

Cited By ~ 7

Author(s):

Michiel Bertsch ◽

Flavia Smarrazzo ◽

Alberto Tesei

Keyword(s):

Parabolic Equations ◽

Nonuniqueness Of Solutions ◽

Backward Parabolic Equations

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On Lipschitz solutions for some forward–backward parabolic equations

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2017.03.001 ◽

2018 ◽

Vol 35 (1) ◽

pp. 65-100 ◽

Cited By ~ 9

Author(s):

Seonghak Kim ◽

Baisheng Yan

Keyword(s):

Parabolic Equations ◽

Backward Parabolic Equations

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Pseudoparabolic regularization of forward-backward parabolic equations: A logarithmic nonlinearity

Analysis & PDE ◽

10.2140/apde.2013.6.1719 ◽

2013 ◽

Vol 6 (7) ◽

pp. 1719-1754 ◽

Cited By ~ 20

Author(s):

Michiel Bertsch ◽

Flavia Smarrazzo ◽

Alberto Tesei

Keyword(s):

Parabolic Equations ◽

Backward Parabolic Equations

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Evolution of stable phases in forward-backward parabolic equations

Asymptotic Analysis and Singularities — Elliptic and parabolic PDEs and related problems ◽

10.2969/aspm/04720451 ◽

2019 ◽

Author(s):

Corrado Mascia ◽

Andrea Terracina ◽

Alberto Tesei

Keyword(s):

Parabolic Equations ◽

Backward Parabolic Equations

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Absence of Existence and Uniqueness for Forward-backward Parabolic Equations on a Half-line

Topics in Operator Theory ◽

10.1007/978-3-0346-0161-0_3 ◽

2010 ◽

pp. 89-98 ◽

Cited By ~ 1

Author(s):

P. Binding ◽

I.M. Karabash

Keyword(s):

Parabolic Equations ◽

Existence And Uniqueness ◽

Half Line ◽

Backward Parabolic Equations

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Regularization of backward parabolic equations in Banach spaces

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jip-2012-0046 ◽

2012 ◽

Vol 20 (5-6) ◽

Cited By ~ 6

Author(s):

Dinh Nho Hào ◽

Nguyen Van Duc

Keyword(s):

Banach Spaces ◽

Parabolic Equations ◽

Backward Parabolic Equations

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