The singular solutions and the cauchy problem for generalized Tricomi equations

DOI10.1002/cpa.3160070108zbMath0056.09301OpenAlexW2071090605MaRDI QIDQ5828229

Alexander Weinstein

Publication date: 1954

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160070108

zbMATH Keywords

Partial differential equations

Related Items (30)

A note on the fundamental solution for the Tricomi-type equation in the hyperbolic domain ⋮ Some recursion relations for solutions of a class of equations ⋮ Patterns and structure in systems governed by linear second-order differential equations ⋮ Construction of Cauchy integrals for one class of nonanalytic functions of complex variables ⋮ On a class of partial differential equations of even order ⋮ Asymptotic expansions of solutions of Fuchsian hyperbolic partial differential equations ⋮ Solvability theorems for linear equations of Tricomi type ⋮ Decomposition theorem and Riesz basis for axisymmetric potentials in the right half-plane ⋮ Generalized axially symmetric potentials with distributional boundary values ⋮ On Green's functions in generalized axially symmetric potential theory ⋮ Opérateurs de Delsarte et problèmes mixtes ⋮ Canonical sequences of singular cauchy problems ⋮ H-measures applied to symmetric systems ⋮ Fundamental solutions for the Tricomi operator ⋮ Problems and methods in partial differential equations ⋮ Fundamental solutions for the Dirac equation in curved spacetime and generalized Euler-Poisson-Darboux equation ⋮ The nondifferentiable solution for local fractional Tricomi equation arising in fractal transonic flow by local fractional variational iteration method ⋮ Partial differential equations. Transl. from the Russian. ⋮ Quasi‐Classical Approximation in Vortex Filament Dynamics. Integrable Systems, Gradient Catastrophe, and Flutter ⋮ Elliptic transmutation I ⋮ Propagation of singularities phenomena for equations of tricome type ⋮ Eine verallgemeinerte Darboux-Gleichung. I ⋮ Gellerstedt and Laplace-Beltrami operators relative to a mixed signature metric ⋮ On the singular Cauchy problem for a generalization of the Euler-Poisson- Darboux equation in two space variables ⋮ On a regular Cauchy problem for the Euler-Poisson-Darboux equation ⋮ On a Cauchy problem with subharmonic initial values ⋮ Some singular Cauchy problems ⋮ Linear differential relations between solutions of a class of Euler-Poisson-Darboux equations ⋮ A note on wave equation in Einstein and de Sitter space-time ⋮ Linear differential relations between solutions of the class of Euler-Poisson-Darboux equations

Cites Work

• Transonic flow past a wedge at zero angle of attack
• Drag of a Finite Wedge at High Subsonic Speeds

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