Constructive methods for elliptic equations

Publication date: 1974

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Boundary value problems for higher-order elliptic equations (35J40) Second-order elliptic equations (35J15) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Generalized solutions to partial differential equations (35D99)

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Patterns and structure in systems governed by linear second-order differential equations ⋮ Solving boundary value problems with ``average data sampled on an arc ⋮ On the Singularities of Gegenbauer (Ultraspherical) Expansions ⋮ Singularities of hyperbolic PDEs in two complex variables ⋮ A Neumann problem for the polyanalytic operator in planar domains with harmonic Green function ⋮ On Riemann boundary value problems for cerrtain linear elliptic systems in the plane ⋮ Growth and approximation of generalized biaxially symmetric potentials in several complex variables ⋮ Dirichlet problems in lens and lune ⋮ Randwertaufgaben ganzzahliger charakterjstik für verailgemeinerte hyperanaiytische funktionen1 ⋮ A reflection principle for solutions to the Helmholtz equation and an application to the inverse scattering problem ⋮ Complete families of solutions to the heat equation and generalized heat equation in \(R^n\) ⋮ Ein Differenzierbarkeitssatz für approximativ analytische Funktionen ⋮ Lösung nichtlinearer partieller Differentialgleichungssysteme erster Ordnung in der Ebene durch Verwendung einer komplexen Normalform ⋮ Zur Konstruktion gewisser Integraloperatoren für partielle Differentialgleichungen. I ⋮ Constructive Methods for Solving Δ42u+AΔ4ut+But+CΔ4u+Du = 0 ⋮ On the error in the approximate solution of boundary value problems of nonlinear first order differential equations in the plane ⋮ Funktionentheoretische Eigenschaften verallgemeinerter analytischer Vektoren ⋮ Scattering on \(\delta\)-function potentials ⋮ Generalized double layer potentials ⋮ Construction of kernels of integral operators for linear partial differential equations ⋮ Mixed boundary value problems for concentric cylinders—an algebraic operator formulation ⋮ On the analytic theory of Pseudoparabolic systems ⋮ Constructive methods for certain Bergman operators ⋮ H^pRepresentation of ultraspherical expansions^† ⋮ Zur Integration der Differentialgleichungen ebener kompressibler Unterschallströmungen ⋮ Vollständige Linearisierung instationärer Prozesse in der Ebene durch komplexe Methoden ⋮ The hilbert problem for hyperanalytic functions ⋮ Complete families of solutions to the heat equation and generalized heat equation in \(R^n\) ⋮ On the theory of class p operators and generalizations ⋮ A maximum principle for generalized analytic vectors ⋮ On the Zeros of Generalized Axially Symmetric Potentials ⋮ Transmutation via the momentum plane

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