Singular solutions to parabolic equations in nondivergence form

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE ◽

10.2422/2036-2145.202011_110 ◽

2021 ◽

pp. 14

Author(s):

Luis Silvestre

Keyword(s):

Parabolic Equations ◽

Singular Solutions ◽

Nondivergence Form

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Singular solutions for semi-linear parabolic equations on nonsmooth domains

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.11.035 ◽

2007 ◽

Vol 333 (2) ◽

pp. 604-613 ◽

Author(s):

Lotfi Riahi

Keyword(s):

Parabolic Equations ◽

Singular Solutions ◽

Nonsmooth Domains ◽

Linear Parabolic Equations

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Singular Solutions of Nonlinear Elliptic and Parabolic Equations

10.1515/9783110332247 ◽

2016 ◽

Author(s):

Alexander A. Kovalevsky ◽

Igor I. Skrypnik ◽

Andrey E. Shishkov

Keyword(s):

Parabolic Equations ◽

Singular Solutions ◽

Nonlinear Elliptic ◽

Elliptic And Parabolic Equations

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Lateral boundary differentiability of solutions of parabolic equations in nondivergence form

Journal of Differential Equations ◽

10.1016/j.jde.2013.07.047 ◽

2013 ◽

Vol 255 (10) ◽

pp. 3491-3504

Author(s):

Yongpan Huang ◽

Dongsheng Li ◽

Lihe Wang

Keyword(s):

Parabolic Equations ◽

Lateral Boundary ◽

Nondivergence Form ◽

Differentiability Of Solutions

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Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-008-0165-6 ◽

2008 ◽

Vol 33 (3) ◽

pp. 343-375 ◽

Author(s):

Andrey Shishkov ◽

Laurent Véron

Keyword(s):

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Singular Solutions ◽

Spatially Inhomogeneous ◽

Nonlinear Parabolic

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Interior degenerate/singular parabolic equations in nondivergence form: well-posedness and Carleman estimates

Journal of Differential Equations ◽

10.1016/j.jde.2015.09.019 ◽

2016 ◽

Vol 260 (2) ◽

pp. 1314-1371 ◽

Author(s):

Genni Fragnelli

Keyword(s):

Parabolic Equations ◽

Carleman Estimates ◽

Well Posedness ◽

Nondivergence Form ◽

Singular Parabolic Equations

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Null controllability for a coupled system of degenerate/singular parabolic equations in nondivergence form

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2018.1.31 ◽

2018 ◽

pp. 1-28

Author(s):

Jawad Salhi

Keyword(s):

Parabolic Equations ◽

Coupled System ◽

Null Controllability ◽

Nondivergence Form ◽

Singular Parabolic Equations

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On Singular Solutions of Nonlinear Elliptic and Parabolic Equations

Milan Journal of Mathematics ◽

10.1007/s00032-011-0158-3 ◽

2011 ◽

Vol 79 (1) ◽

pp. 3-12

Author(s):

Louis Nirenberg

Keyword(s):

Parabolic Equations ◽

Singular Solutions ◽

Nonlinear Elliptic ◽

Elliptic And Parabolic Equations

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Hölder continuity and bounds for fundamental solutions to nondivergence form parabolic equations

Analysis & PDE ◽

10.2140/apde.2015.8.1 ◽

2015 ◽

Vol 8 (1) ◽

pp. 1-32 ◽

Author(s):

Seiichiro Kusuoka

Keyword(s):

Parabolic Equations ◽

Hölder Continuity ◽

Fundamental Solutions ◽

Holder Continuity ◽

Nondivergence Form

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Singular solutions of some nonlinear parabolic equations

Journal d Analyse Mathématique ◽

10.1007/bf02790217 ◽

1992 ◽

Vol 59 (1) ◽

pp. 51-74 ◽

Author(s):

Shoshana Kamin ◽

Juan Luis Vazquez

Keyword(s):

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Singular Solutions ◽

Nonlinear Parabolic

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WEIGHTED SOLVABILITY FOR PARABOLIC EQUATIONS WITH PARTIALLY BMO COEFFICIENTS AND ITS APPLICATIONS

Journal of the Australian Mathematical Society ◽

10.1017/s1446788714000020 ◽

2014 ◽

Vol 96 (3) ◽

pp. 396-428

Author(s):

LIN TANG

Keyword(s):

Bounded Domain ◽

Parabolic Equations ◽

Global Regularity ◽

Morrey Spaces ◽

Divergence Form ◽

Bounded Mean Oscillation ◽

Nondivergence Form ◽

Mean Oscillation ◽

Bmo Coefficients

AbstractWe consider the weighted $L_p$ solvability for divergence and nondivergence form parabolic equations with partially bounded mean oscillation (BMO) coefficients and certain positive potentials. As an application, global regularity in Morrey spaces for divergence form parabolic operators with partially BMO coefficients on a bounded domain is established.

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