On the Dependence of Analytic Solutions of Partial Differential Equations on the Right-Hand Side
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Publication:4316964
DOI10.2307/2154996zbMath0808.35019OpenAlexW4239373300MaRDI QIDQ4316964
Publication date: 19 December 1994
Full work available at URL: https://doi.org/10.2307/2154996
Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Linear higher-order PDEs (35G05)
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Cites Work
- Unnamed Item
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- Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
- A new capacity for plurisubharmonic functions
- Characterization of the linear partial differential operators with constant coefficients that admit a continuous linear right inverse
- Solution operators for partial differential equations in weighted Gevrey spaces
- Each non-zero convolution operator on the entire functions admits a continuous linear right inverse
- On the range of convolution operators
- Quotientenräume von stabilen Potenzreihenräumen endlichen Typs
- Interpolation problems in \(C^ n\) with applications to harmonic analysis
- Convex univalent functions and continuous linear right inverses
- The Dirichlet problem for a complex Monge-Ampère equation
- The partial Legendre transformation for plurisubharmonic functions
- Interpolation on plane sets in \({\mathbb{C}}^ 2\)
- A critical growth rate for the pluricomplex Green function
- Boundary behavior of extremal plurisubharmonic functions
- A division problem in the space of entire functions of exponential type
- Counterexamples in holomorphic functions on nuclear Fréchet spaces
- Eine Charakterisierung der Potenzreihenraeume von endlichem Typ und ihre Folgerungen
- On the existence of real analytic solutions of partial differential equations with constant coefficients
- A tame splitting theorem for exact sequences of Fréchet spaces
- Existence and approximation theorems for solutions of complex analogues of boundary problems
- Indicatrices de croissance des fonctions entières de \(N\)-variables. (Corrections et compléments.)
- AN ESTIMATE FOR POLYNOMIALS ON ANALYTIC SETS
- Extremal plurisubharmonic functions in $C^N$
- Fonction de Green pluriclomplexe à pole à l'infini sur un espace de Stein parabolique et applications.
- Spaces of operators between Fréchet spaces
- LINEAR PROBLEMS OF COMPLEX ANALYSIS