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Displaying 41 – 60 of 198

Dynamics of wave propagation and curvature of discriminants

Victor P. Palamodov (2000)

Annales de l'institut Fourier

For a Lagrange distribution of order zero we consider a quadratic integral which has logarithmic divergence at the singular locus of the distribution. The residue of the asymptotics is a Hermitian form evaluated in the space of positive distributions supported in the locus. An asymptotic analysis of the residue density is given in terms of the curvature form of the locus. We state a conservation law for the residue of the impulse-energy tensor of solutions of the wave equation which extends the...

Edge asymptotics on a skew cylinder: complex variable form

Martin Costabel, Monique Dauge (1992)

Banach Center Publications

Elliptic boundary problems on spaces with conic points

Richard B. Melrose, Gerardo A. Mendoza (1981)

Journées équations aux dérivées partielles

Energies of $S^{2}$ -valued harmonic maps on polyhedra with tangent boundary conditions

A. Majumdar, J. M. Robbins, M. Zyskin (2008)

Annales de l'I.H.P. Analyse non linéaire

Équation de Schrödinger et propagation des singularités. II

Bernard Lascar, Johannes Sjöstrand (1983)

Journées équations aux dérivées partielles

Erratum - La variété caractéristique d'un système différentiel analytique

Bernard Malgrange (2002)

Annales de l’institut Fourier

Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations.

Jódar, Lucas (1992)

International Journal of Mathematics and Mathematical Sciences

Existence of Metrics With Prescribed Ricci Curvature: Local Theory.

Dennis M. DeTurck (1981/1982)

Inventiones mathematicae

Existence of solutions for a sublinear system of elliptic equations.

Cid, Carlos, Yarur, Cecilia (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Explicit solutions for a system of first-order partial differential equations. II.

Joseph, Kayyunnapapra Thomas, Sahoo, Manas Ranjan (2011)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Explicit solutions for a system of first-order partial differential equations.

Joseph, Kayyunnapara Thomas (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Extension of solutions for Monge-Ampère equations of hyperbolic type

Mikio Tsuji (1996)

Banach Center Publications

Formal and Convergent Solutions of Singular Partial Differential Equations.

Gunter Bengel, Raymond Gérard (1982)

Manuscripta mathematica

Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity

Hua Chen, Zhuangchu Luo, Hidetoshi Tahara (2001)

Annales de l’institut Fourier

In this paper, we calculate the formal Gevrey index of the formal solution of a class of nonlinear first order totally characteristic type partial differential equations with irregular singularity in the space variable. We also prove that our index is the best possible one in a generic case.

Generating singularities of solutions of quasilinear elliptic equations using Wolff’s potential

Darko Žubrinić (2003)

Czechoslovak Mathematical Journal

We consider a quasilinear elliptic problem whose left-hand side is a Leray-Lions operator of $p$ -Laplacian type. If $p < γ < N$ and the right-hand side is a Radon measure with singularity of order $γ$ at $x_{0} \in Ω$ , then any supersolution in $W_{l o c}^{1, p} (Ω)$ has singularity of order at least $\frac{(γ - p)}{(p - 1)}$ at $x_{0}$ . In the proof we exploit a pointwise estimate of $𝒜$ -superharmonic solutions, due to Kilpeläinen and Malý, which involves Wolff’s potential of Radon’s measure.

Geometrische Eigenschaften der Lösungen der Differentialgleichung (1-zz)2wzz - n(n + 1) w= 0.

Stephan Ruscheweyh (1974)

Journal für die reine und angewandte Mathematik

Global time estimates for solutions to equations of dissipative type

Michael Ruzhansky, James Smith (2005)

Journées Équations aux dérivées partielles

Global time estimates of $L^{p} - L^{q}$ norms of solutions to general strictly hyperbolic partial differential equations are considered. The case of special interest in this paper are equations exhibiting the dissipative behaviour. Results are applied to discuss time decay estimates for Fokker-Planck equations and for wave type equations with negative mass.

Harmonic metrics and connections with irregular singularities

Claude Sabbah (1999)

Annales de l'institut Fourier

We identify the holomorphic de Rham complex of the minimal extension of a meromorphic vector bundle with connexion on a compact Riemann surface $X$ with the $L^{2}$ complex relative to a suitable metric on the bundle and a complete metric on the punctured Riemann surface. Applying results of C. Simpson, we show the existence of a harmonic metric on this vector bundle, giving the same $L^{2}$ complex.

Hausdorffovy míry a odstranitelné singularity parciálních diferenciálních rovnic

Josef Král (1990)

Pokroky matematiky, fyziky a astronomie

Hypoelliptic operators with characteristic variety of codimension two and the wave equation

R. B. Melrose (1979/1980)

Séminaire Équations aux dérivées partielles (Polytechnique)

Currently displaying 41 – 60 of 198

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