35-XX |
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Partial differential equations |
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35Kxx |
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Parabolic equations and parabolic systems {For global analysis, analysis on manifolds, see 58J35} |
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35K05 |
Heat equation |
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35K08 |
Heat kernel |
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35K10 |
Second-order parabolic equations |
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35K15 |
Initial value problems for second-order parabolic equations |
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35K20 |
Initial-boundary value problems for second-order parabolic equations |
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35K25 |
Higher-order parabolic equations |
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35K30 |
Initial value problems for higher-order parabolic equations |
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35K35 |
Initial-boundary value problems for higher-order parabolic equations |
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35K40 |
Second-order parabolic systems |
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35K41 |
Higher-order parabolic systems |
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35K45 |
Initial value problems for second-order parabolic systems |
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35K46 |
Initial value problems for higher-order parabolic systems |
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35K51 |
Initial-boundary value problems for second-order parabolic systems |
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35K52 |
Initial-boundary value problems for higher-order parabolic systems |
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35K55 |
Nonlinear parabolic equations |
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35K57 |
Reaction-diffusion equations {For diffusion processes and reaction effects, see 47D07, 58J65, 60J60, 60J70, 74N25, 76R50, 76V05, 80A23, 82B24, 82C24, 92E20} |
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35K58 |
Semilinear parabolic equations |
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35K59 |
Quasilinear parabolic equations |
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35K60 |
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations |
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35K61 |
Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations |
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35K65 |
Degenerate parabolic equations |
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35K67 |
Singular parabolic equations |
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35K70 |
Ultraparabolic equations, pseudoparabolic equations, etc. |
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35K85 |
Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators [See also 35R35, 49J40] |
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35K86 |
Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators [See also 35R35, 49J40] |
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35K87 |
Unilateral problems for parabolic systems and systems of variational inequalities with parabolic operators [See also 35R35, 49J40] |
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35K90 |
Abstract parabolic equations |
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35K91 |
Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian |
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35K92 |
Quasilinear parabolic equations with $p$-Laplacian |
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35K93 |
Quasilinear parabolic equations with mean curvature operator |
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35K96 |
Parabolic Monge-Ampère equations |
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35K99 |
None of the above, but in this section |