35Axx

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35Axx General theorytopics {Info & Stats}

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• 35A01 Existence problems: global existence, local existence, non-existence
• 35A02 Uniqueness problems: global uniqueness, local uniqueness, non-uniqueness
• 35A05 General existence and uniqueness theorems
• 35A07 Local existence and uniqueness theorems
• 35A08 Fundamental solutions
• 35A09 Classical solutions
• 35A10 Cauchy-Kovalevskaya theorems
• 35A15 Variational methods
• 35A16 Topological and monotonicity methods
• 35A17 Parametrices
• 35A18 Wave front sets
• 35A20 Analytic methods, singularities
• 35A21 Propagation of singularities
• 35A22 Transform methods (e.g. integral transforms)
• 35A23 Inequalities involving derivatives and differential and integral operators, inequalities for integrals
• 35A24 Methods of ordinary differential equations
• 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