About: Parabolic equations and systems

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Attributs	Valeurs
type	Concept
rdfs:seeAlso	Qualitative properties of solutions Generalized solutions Inverse problems Free boundary problems Heat and other parabolic equation methods
skos:inScheme	MSC 2010
broader concept	Partial differential equations
narrower concept	Heat equation Heat kernel Second-order parabolic equations Initial value problems for second-order parabolic equations Initial-boundary value problems for second-order parabolic equations Higher-order parabolic equations Initial value problems for higher-order parabolic equations Initial-boundary value problems for higher-order parabolic equations Second-order parabolic systems Higher-order parabolic systems Initial value problems for second-order parabolic systems Initial value problems for higher-order parabolic systems Initial-boundary value problems for second-order parabolic systems Initial-boundary value problems for higher-order parabolic systems Nonlinear parabolic equations Reaction-diffusion equations Semilinear parabolic equations Quasilinear parabolic equations Nonlinear initial value problems for linear parabolic equations Nonlinear initial-boundary value problems for nonlinear parabolic equations Degenerate parabolic equations Singular parabolic equations Ultraparabolic equations, pseudoparabolic equations, etc. Linear parabolic unilateral problems and linear parabolic variational inequalities Nonlinear parabolic unilateral problems and nonlinear parabolic variational inequalities Systems of parabolic variational inequalities Abstract parabolic equations Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian Quasilinear parabolic equations with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ p$"><mml:mi>p</mml:mi></mml:math>-Laplacian Quasilinear parabolic equations with mean curvature operator Parabolic Monge-AmpÃ¨re equations None of the above, but in MSC2010 section 35Kxx
skos:prefLabel	Parabolic equations and systems 抛物型方程与方程组
skos:altLabel	Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] 抛物型方程与方程组[参见35Bxx, 35Dxx, 35R30, 35R35, 58J35]
http://msc2010.org...0/msc2010#seeAlso	Qualitative properties of solutions Generalized solutions Inverse problems Free boundary problems Heat and other parabolic equation methods
skos:closeMatch	from MSC1991 value of: Parabolic equations and systems, [See also 35Bxx, 35Dxx, 35R30, 35R35, 58G11] from MSC2000 value of: Parabolic equations and systems [See also 35Bxx, 35Dxx, \CMPonly{35Rxx]\FullScheme{35R30, 35R35}, 58J35}
skos:notation	35Kxx
skos:note	See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35.
skos:relatedMatch	http://msc2010.org/resources/MSC/2010/fullDD21-515.353
skos:semanticRelation	Qualitative properties of solutions Generalized solutions Inverse problems Free boundary problems Heat and other parabolic equation methods
is Subject of	Homogenization of a system of elastic and reaction-diffusion equations modelling plant cell wall biomechanics
is broader concept of	Heat equation Heat kernel Second-order parabolic equations Initial value problems for second-order parabolic equations Initial-boundary value problems for second-order parabolic equations Higher-order parabolic equations Initial value problems for higher-order parabolic equations Initial-boundary value problems for higher-order parabolic equations Second-order parabolic systems Higher-order parabolic systems Initial value problems for second-order parabolic systems Initial value problems for higher-order parabolic systems Initial-boundary value problems for second-order parabolic systems Initial-boundary value problems for higher-order parabolic systems Nonlinear parabolic equations Reaction-diffusion equations Semilinear parabolic equations Quasilinear parabolic equations Nonlinear initial value problems for linear parabolic equations Nonlinear initial-boundary value problems for nonlinear parabolic equations Degenerate parabolic equations Singular parabolic equations Ultraparabolic equations, pseudoparabolic equations, etc. Linear parabolic unilateral problems and linear parabolic variational inequalities Nonlinear parabolic unilateral problems and nonlinear parabolic variational inequalities Systems of parabolic variational inequalities Abstract parabolic equations Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian Quasilinear parabolic equations with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ p$"><mml:mi>p</mml:mi></mml:math>-Laplacian Quasilinear parabolic equations with mean curvature operator Parabolic Monge-AmpÃ¨re equations None of the above, but in MSC2010 section 35Kxx
is narrower concept of	Partial differential equations

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