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  • 35-XX Partial differential equations
  • 35Kxx Parabolic equations and systems
  • 35K30 Initial value problems for higher-order parabolic equations

35Kxx Parabolic equations and systems

  • 35K05 Heat equation
  • 35K08 Heat kernel
  • 35K10 Second-order parabolic equations
  • 35K15 Initial value problems for second-order parabolic equations
  • 35K20 Initial-boundary value problems for second-order parabolic equations
  • 35K25 Higher-order parabolic equations
  • 35K30 Initial value problems for higher-order parabolic equations
  • 35K35 Initial-boundary value problems for higher-order parabolic equations
  • 35K40 Second-order parabolic systems
  • 35K41 Higher-order parabolic systems
  • 35K45 Initial value problems for second-order parabolic systems
  • 35K46 Initial value problems for higher-order parabolic systems
  • 35K51 Initial-boundary value problems for second-order parabolic systems
  • 35K52 Initial-boundary value problems for higher-order parabolic systems
  • 35K55 Nonlinear parabolic equations
  • 35K57 Reaction-diffusion equations
  • 35K58 Semilinear parabolic equations
  • 35K59 Quasilinear parabolic equations
  • 35K60 Nonlinear initial value problems for linear parabolic equations
  • 35K61 Nonlinear initial-boundary value problems for nonlinear parabolic equations
  • 35K65 Degenerate parabolic equations
  • 35K67 Singular parabolic equations
  • 35K70 Ultraparabolic equations, pseudoparabolic equations, etc.
  • 35K85 Linear parabolic unilateral problems and linear parabolic variational inequalities
  • 35K86 Nonlinear parabolic unilateral problems and nonlinear parabolic variational inequalities
  • 35K87 Systems of parabolic variational inequalities
  • 35K90 Abstract parabolic equations
  • 35K91 Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian
  • 35K92 Quasilinear parabolic equations with p -Laplacian
  • 35K93 Quasilinear parabolic equations with mean curvature operator
  • 35K96 Parabolic Monge-Ampère equations
  • 35K99 None of the above, but in this section
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