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Navegando por la clasificación temática MSC 2000: 35 · Partial differential equations
 
35 Partial differential equations
  35-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
  35-01 Instructional exposition (textbooks, tutorial papers, etc.)
  35-02 Research exposition (monographs, survey articles)
  35-03 Historical
  35-04 Explicit machine computation and programs (not the theory of computation or programming)
  35-06 Proceedings, conferences, collections, etc.
  35-99 Partial differential equations (not classified at a more specific level)
 
  35A General theory
    35A05 General existence and uniqueness theorems
    35A07 Local existence and uniqueness theorems [See also 35Hxx, 35Sxx]
    35A08 Fundamental solutions
    35A10 Cauchy-Kovalevskaya theorems
    35A15 Variational methods
    35A17 Parametrices
    35A18 Wave front sets
    35A20 Analytic methods, singularities
    35A21 Propagation of singularities
    35A22 Transform methods (e.g. integral transforms)
    35A25 Other special methods
    35A27 Microlocal methods; methods of sheaf theory and homological algebra in PDE [See also 32C38, 58J15]
    35A30 Geometric theory, characteristics, transformations [See also 58J70, 58J72]
    35A35 Theoretical approximation to solutions {For numerical analysis, see 65Mxx, 65Nxx}
    35A99 None of the above, but in this section
 
  35B Qualitative properties of solutions
    35B05 General behavior of solutions of PDE (comparison theorems; oscillation, zeros and growth of solutions; mean value theorems)
    35B10 Periodic solutions
    35B15 Almost periodic solutions
    35B20 Perturbations
    35B25 Singular perturbations
    35B27 Homogenization; partial differential equations in media with periodic structure [See also 74Qxx, 76M50]
    35B30 Dependence of solutions of PDE on initial and boundary data, parameters [See also 37Cxx]
    35B32 Bifurcation [See also 37Gxx, 37K50]
    35B33 Critical exponents
    35B34 Resonances
    35B35 Stability, boundedness
    35B37 PDE in connection with control problems [See also 49J20, 49K20, 93C20]
    35B38 Critical points
    35B40 Asymptotic behavior of solutions
    35B41 Attractors
    35B42 Inertial manifolds
    35B45 A priori estimates
    35B50 Maximum principles
    35B60 Continuation and prolongation of solutions of PDE [See also 58A15, 58A17, 58Hxx]
    35B65 Smoothness and regularity of solutions of PDE
    35B99 None of the above, but in this section
 
  35C Representations of solutions
    35C05 Solutions in closed form
    35C10 Series solutions, expansion theorems
    35C15 Integral representations of solutions of PDE
    35C20 Asymptotic expansions
    35C99 None of the above, but in this section
 
  35D Generalized solutions of partial differential equations
    35D05 Existence of generalized solutions
    35D10 Regularity of generalized solutions
    35D99 None of the above, but in this section
 
  35E Equations and systems with constant coefficients [See also 35N05]
    35E05 Fundamental solutions
    35E10 Convexity properties
    35E15 Initial value problems
    35E20 General theory
    35E99 None of the above, but in this section
 
  35F General first-order equations and systems
    35F05 General theory of linear first-order PDE
    35F10 Initial value problems for linear first-order PDE, linear evolution equations
    35F15 Boundary value problems for linear first-order PDE
    35F20 General theory of nonlinear first-order PDE
    35F25 Initial value problems for nonlinear first-order PDE, nonlinear evolution equations
    35F30 Boundary value problems for nonlinear first-order PDE
    35F99 None of the above, but in this section
 
  35G General higher-order equations and systems
    35G05 General theory of linear higher-order PDE
    35G10 Initial value problems for linear higher-order PDE, linear evolution equations
    35G15 Boundary value problems for linear higher-order PDE
    35G20 General theory of nonlinear higher-order PDE
    35G25 Initial value problems for nonlinear higher-order PDE, nonlinear evolution equations
    35G30 Boundary value problems for nonlinear higher-order PDE
    35G99 None of the above, but in this section
 
  35H Close-to-elliptic equations and systems
    35H10 Hypoelliptic equations
    35H20 Subelliptic equations
    35H30 Quasi-elliptic equations
    35H99 None of the above, but in this section
 
  35J Partial differential equations of elliptic type [See also 58Jxx, 58J10, 58J20]
    35J05 Laplace equation, reduced wave equation (Helmholtz), Poisson equation [See also 31Axx, 31Bxx]
    35J10 Schrödinger operator [See also 35Pxx]
    35J15 General theory of second-order, elliptic equations
    35J20 Variational methods for second-order, elliptic equations
    35J25 Boundary value problems for second-order, elliptic equations
    35J30 General theory of higher-order, elliptic equations [See also 31A30, 31B30]
    35J35 Variational methods for higher-order, elliptic equations
    35J40 Boundary value problems for higher-order, elliptic equations
    35J45 General theory of elliptic systems of PDE
    35J50 Variational methods for elliptic systems
    35J55 Boundary value problems for elliptic systems
    35J60 Nonlinear PDE of elliptic type
    35J65 Nonlinear boundary value problems for linear elliptic PDE; boundary value problems for nonlinear elliptic PDE
    35J67 Boundary values of solutions to elliptic PDE
    35J70 Elliptic partial differential equations of degenerate type
    35J85 Unilateral problems and variational inequalities for elliptic PDE [See also 35R35, 49J40]
    35J99 None of the above, but in this section
 
  35K Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35]
    35K05 Heat equation
    35K10 General theory of second-order, parabolic equations
    35K15 Initial value problems for second-order, parabolic equations
    35K20 Boundary value problems for second-order, parabolic equations
    35K25 General theory of higher-order, parabolic equations
    35K30 Initial value problems for higher-order, parabolic equations
    35K35 Boundary value problems for higher-order, parabolic equations
    35K40 General theory of parabolic systems of PDE
    35K45 Initial value problems for parabolic systems
    35K50 Boundary value problems for parabolic systems
    35K55 Nonlinear PDE of parabolic type
    35K57 Reaction-diffusion equations
    35K60 Nonlinear boundary value problems for linear parabolic PDE; boundary value problems for nonlinear parabolic PDE
    35K65 Parabolic partial differential equations of degenerate type
    35K70 Ultraparabolic, pseudoparabolic PDE, etc.
    35K85 Unilateral problems and variational inequalities for parabolic PDE [See also 35R35, 49J40]
    35K90 Abstract parabolic evolution equations
    35K99 None of the above, but in this section
 
  35L Partial differential equations of hyperbolic type [See also 58J45]
    35L05 Wave equation
    35L10 General theory of second-order, hyperbolic equations
    35L15 Initial value problems for second-order, hyperbolic equations
    35L20 Boundary value problems for second-order, hyperbolic equations
    35L25 General theory of higher-order, hyperbolic equations
    35L30 Initial value problems for higher-order, hyperbolic equations
    35L35 Boundary value problems for higher-order, hyperbolic equations
    35L40 General theory of hyperbolic systems of first-order PDE
    35L45 Initial value problems for hyperbolic systems of first-order PDE
    35L50 Boundary value problems for hyperbolic systems of first-order PDE
    35L55 Hyperbolic systems of higher-order PDE
    35L60 Nonlinear first-order PDE of hyperbolic type
    35L65 Conservation laws
    35L67 Shocks and singularities [See also 58Kxx, 76L05]
    35L70 Nonlinear second-order PDE of hyperbolic type
    35L75 Nonlinear hyperbolic PDE of higher ($\gtr 2$) order
    35L80 Hyperbolic PDE of degenerate type
    35L82 Pseudohyperbolic equations
    35L85 Unilateral problems; variational inequalities for hyperbolic PDE [See also 35R35, 49J40]
    35L90 Abstract hyperbolic evolution equations
    35L99 None of the above, but in this section
 
  35M Partial differential equations of special type (mixed, composite, etc.) {For degenerate types, see 35J70, 35K65, 35L80}
    35M10 PDE of mixed type
    35M20 PDE of composite type
    35M99 None of the above, but in this section
 
  35N Overdetermined systems [See also 58Hxx, 58Jxx, 58J10, 58J15]
    35N05 Overdetermined systems with constant coefficients
    35N10 Overdetermined systems with variable coefficients (general)
    35N15 $\overline\partial$-Neumann problem and generalizations; formal complexes [See also 32W05, 32W10, 58J10]
    35N99 None of the above, but in this section
 
  35P Spectral theory and eigenvalue problems for partial [See also 47Axx, 47Bxx, 47F05]
    35P05 General spectral theory of PDE
    35P10 Completeness of eigenfunctions, eigenfunction expansions for PDO
    35P15 Estimation of eigenvalues, upper and lower bounds
    35P20 Asymptotic distribution of eigenvalues and eigenfunctions for PDO
    35P25 Scattering theory for PDE [See also 47A40]
    35P30 Nonlinear eigenvalue problems, nonlinear spectral theory for PDO
    35P99 None of the above, but in this section
 
  35Q Equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05]
    35Q05 Euler-Poisson-Darboux equation and generalizations
    35Q15 Riemann-Hilbert problems [See also 30E25, 31A25, 31B20]
    35Q30 Stokes and Navier-Stokes equations [See also 76D05, 76D07, 76N10]
    35Q35 Other equations arising in fluid mechanics
    35Q40 Equations from quantum mechanics
    35Q51 Solitons [See also 37K40]
    35Q53 KdV-like equations (Korteweg-de Vries, Burgers, sine-Gordon, sinh-Gordon, etc.) [See also 37K10]
    35Q55 NLS-like (nonlinear Schrödinger) equations [See also 37K10]
    35Q58 Other completely integrable equations [See also 37J35, 37K10]
    35Q60 Equations of electromagnetic theory and optics
    35Q72 Other equations from mechanics
    35Q75 PDE in relativity
    35Q80 Applications of PDE in areas other than physics
    35Q99 None of the above, but in this section
 
  35R Miscellaneous topics involving partial differential equations {For equations on manifolds, see 58Jxx; for manifolds of solutions, see 58Bxx; for stochastic PDEs, see also 60H15}
    35R05 PDE with discontinuous coefficients or data
    35R10 Partial functional-differential or differential-difference equations, with or without deviating arguments
    35R12 Impulsive partial differential equations
    35R15 Partial differential equations on infinite-dimensional (e.g. function) spaces (= PDE in infinitely many variables) [See also 46Gxx, 58D25]
    35R20 Partial operator-differential equations (i.e. PDE on finite-dimensional spaces for abstract space valued functions) [See also 34Gxx, 47A50, 47D03, 47D06, 47D09, 47H20, 47Jxx]
    35R25 Improperly posed problems for PDE
    35R30 Inverse problems (undetermined coefficients, etc.) for PDE
    35R35 Free boundary problems for PDE
    35R45 Partial differential inequalities
    35R50 Partial differential equations of infinite order
    35R60 Partial differential equations with randomness [See also 60H15]
    35R70 PDE with multivalued right-hand sides
    35R99 None of the above, but in this section
 
  35S Pseudodifferential operators and other generalizations of partial differential operators [See also 47G30, 58J40]
    35S05 General theory of PsDO
    35S10 Initial value problems for PsDO
    35S15 Boundary value problems for PsDO
    35S30 Fourier integral operators
    35S35 Topological aspects: intersection cohomology, stratified sets, etc. [See also 32C38, 32S40, 32S60, 58J15]
    35S50 Paradifferential operators
    35S99 None of the above, but in this section
 

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