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On the global solvability of linear partial differential equations with constant coefficients in the space of real analytic functions

Akira Kaneko (1996)

Banach Center Publications

This article surveys results on the global surjectivity of linear partial differential operators with constant coefficients on the space of real analytic functions. Some new results are also included.

On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order

Stefan Hildebrandt, Kjell-Ove Widman (1977)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the hyperbolicity of a third order operator and the generalized Goursat-Darboux problem

Carvalho e Silva, Jaime (1989)

Portugaliae mathematica

On the Korteweg-De Vries Equation.

Tosio Kato (1979)

Manuscripta mathematica

On the method of least squares on the boundary

Karel Rektorys (1974)

Acta Universitatis Carolinae. Mathematica et Physica

On the operator $\oplus_{B}^{k}$ related to Bessel heat equation.

Satsanit, Wanchak (2010)

Mathematical Problems in Engineering

On the Paneitz energy on standard three sphere

Paul Yang, Meijun Zhu (2004)

ESAIM: Control, Optimisation and Calculus of Variations

We prove that the Paneitz energy on the standard three-sphere $S^{3}$ is bounded from below and extremal metrics must be conformally equivalent to the standard metric.

On the Paneitz energy on standard three sphere

Paul Yang, Meijun Zhu (2010)

ESAIM: Control, Optimisation and Calculus of Variations

We prove that the Paneitz energy on the standard three-sphere S3 is bounded from below and extremal metrics must be conformally equivalent to the standard metric.

On the p-biharmonic operator with critical Sobolev exponent

Abdelouahed El Khalil, My Driss Morchid Alaoui, Abdelfattah Touzani (2014)

Applicationes Mathematicae

We study the existence of solutions for a p-biharmonic problem with a critical Sobolev exponent and Navier boundary conditions, using variational arguments. We establish the existence of a precise interval of parameters for which our problem admits a nontrivial solution.

On the quasiuniqueness of solutions of degenerate equations in Hilbert space.

Schuchman, Vladimir (1988)

International Journal of Mathematics and Mathematical Sciences

On the regularity of solutions in Convex Integration theory.

David Spring (1991)

Inventiones mathematicae

On the second boundary value problem for equations of Monge-Ampère type.

John Urbas (1997)

Journal für die reine und angewandte Mathematik

On the semigroups of age-size dependent population dynamcis with spatial diffusion.

W.L. Chan, Guo Bao Zhu (1990)

Manuscripta mathematica

On the singularities of the solution of the Cauchy problem for the operator with non uniform multiple characteristics

Yûsaku Hamada, Gen Nakamura (1977)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the Singularities of the Solution to the Cauchy Problem with Singular Data in the Complex Domain.

Takao Kobayashi (1984)

Mathematische Annalen

On the smoothness of viscosity solutions of the prescribed Levi-curvature equation

Giovanna Citti, Ermanno Lanconelli, Annamaria Montanari (1999)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this paper a $C^{\infty}$ -regularity result for the strong viscosity solutions to the prescribed Levi-curvature equation is announced. As an application, starting from a result by Z. Slodkowski and G. Tomassini, the $C^{\infty}$ -solvability of the Dirichlet problem related to the same equation is showed.

On the Uniqueness of Solutions and on the Convergence of Successive Approximations for Certain Initial Problems of Equations of the Higher Orders

Vladimír Ďurikovič (1970)

Matematický časopis

Currently displaying 61 – 80 of 90

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Displaying 61 – 80 of 90

On the global solvability of linear partial differential equations with constant coefficients in the space of real analytic functions

On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order

On the hyperbolicity of a third order operator and the generalized Goursat-Darboux problem

On the Korteweg-De Vries Equation.

On the method of least squares on the boundary

On the operator $\oplus_{B}^{k}$ related to Bessel heat equation.

On the Paneitz energy on standard three sphere

On the Paneitz energy on standard three sphere

On the p-biharmonic operator with critical Sobolev exponent

On the quasiuniqueness of solutions of degenerate equations in Hilbert space.

On the regularity of solutions in Convex Integration theory.

On the second boundary value problem for equations of Monge-Ampère type.

On the semigroups of age-size dependent population dynamcis with spatial diffusion.

On the singularities of the solution of the Cauchy problem for the operator with non uniform multiple characteristics

On the Singularities of the Solution to the Cauchy Problem with Singular Data in the Complex Domain.

On the smoothness of viscosity solutions of the prescribed Levi-curvature equation

On the solvability of von Kármán equations

On the stability of solitary waves for classical scalar fields

On the support of solutions to the generalized KdV equation

On the Uniqueness of Solutions and on the Convergence of Successive Approximations for Certain Initial Problems of Equations of the Higher Orders

Currently displaying 61 – 80 of 90