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Displaying 21 – 40 of 280

A viscosity solution method for Shape-From-Shading without image boundary data

Emmanuel Prados, Fabio Camilli, Olivier Faugeras (2006)

ESAIM: Mathematical Modelling and Numerical Analysis

In this paper we propose a solution of the Lambertian shape-from-shading (SFS) problem by designing a new mathematical framework based on the notion of viscosity solution. The power of our approach is twofolds: (1) it defines a notion of weak solutions (in the viscosity sense) which does not necessarily require boundary data. Moreover, it allows to characterize the viscosity solutions by their “minimums”; and (2) it unifies the works of [Rouy and Tourin, SIAM J. Numer. Anal.29 (1992) 867–884],...

Almost periodic viscosity solutions of nonlinear parabolic equations.

Zhang, Shilin, Piao, Daxiong (2009)

Boundary Value Problems [electronic only]

𝒞1,β regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations

I. Birindelli, F. Demengel (2014)

ESAIM: Control, Optimisation and Calculus of Variations

We prove Hölder regularity of the gradient, up to the boundary for solutions of some fully-nonlinear, degenerate elliptic equations, with degeneracy coming from the gradient.

An approximation theorem for solutions of degenerate semilinear elliptic equations

Albo Carlos Cavalheiro (2017)

Communications in Mathematics

The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.

An existence and approximation theorem for solutions of degenerate quasilinear elliptic equations

Albo Carlos Cavalheiro (2018)

Commentationes Mathematicae Universitatis Carolinae

The main result establishes that a weak solution of degenerate quasilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate quasilinear elliptic equations.

An existence proof for the stationary compressible Stokes problem

A. Fettah, T. Gallouët, H. Lakehal (2014)

Annales de la faculté des sciences de Toulouse Mathématiques

In this paper, we prove the existence of a solution for a quite general stationary compressible Stokes problem including, in particular, gravity effects. The Equation Of State gives the pressure as an increasing superlinear function of the density. This existence result is obtained by passing to the limit on the solution of a viscous approximation of the continuity equation.

Analytical results on a model for damaging in domains and interfaces

Elena Bonetti, Michel Frémond (2011)

ESAIM: Control, Optimisation and Calculus of Variations

This paper deals with a model describing damage processes in a (nonlinear) elastic body which is in contact with adhesion with a rigid support. On the basis of phase transitions theory, we detail the derivation of the model written in terms of a PDE system, combined with suitable initial and boundary conditions. Some internal constraints on the variables are introduced in the equations and on the boundary, to get physical consistency. We prove the existence of global in time solutions (to a suitable...

Analytical results on a model for damaging in domains and interfaces*

Elena Bonetti, Michel Frémond (2011)

ESAIM: Control, Optimisation and Calculus of Variations

Anisotropic parabolic equations with variable nonlinearity.

S. Antontsev, S. Shmarev (2009)

Publicacions Matemàtiques

Approximation of initial and boundary value problems for quasilinear first order equations

Alain Yves le-Roux (1984)

Banach Center Publications

A-Quasiconvexity: Relaxation and Homogenization

Andrea Braides, Irene Fonseca, Giovanni Leoni (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Integral representation of relaxed energies and of Γ-limits of functionals $(u, v) \mapsto \int_{Ω} f (x, u (x), v (x)) d x$ are obtained when sequences of fields v may develop oscillations and are constrained to satisfy a system of first order linear partial differential equations. This framework includes the treatement of divergence-free fields, Maxwell's equations in micromagnetics, and curl-free fields. In the latter case classical relaxation theorems in W1,p, are recovered.

Asymptotic behavior and non-existence theorems for semilinear Dirichlet problems involving critical exponent on unbounded domains of the Heisenberg group

E. Lanconelli, F. Uguzzoni (1998)

Bollettino dell'Unione Matematica Italiana

In questa nota dimostriamo stime asintotiche ottimali per le soluzioni deboli non negative del problema al contorno $- Δ_{H^{n}} u = u^{(Q + 2) / (Q - 2)} i n Ω, u = 0 in \partial Ω .$ $- Δ_{H^{n ...}}$

Asymptotic representation of solutions to the Dirichlet problem for elliptic systems with discontinuous coefficients near the boundary.

Kozlov, Vladimir (2006)

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

Asymptotics of solutions to the Dirichlet-Cauchy problem for parabolic equations in domains with edges

Vu Trong Luong, Nguyen Manh Hung, Do Van Loi (2013)

Annales Polonici Mathematici

This paper is concerned with the Dirichlet-Cauchy problem for second order parabolic equations in domains with edges. The asymptotic behaviour of the solution near the edge is studied.

We study the behaviour of weak solutions (as well as their gradients) of boundary value problems for quasi-linear elliptic divergence equations in domains extending to infinity along a cone.

Currently displaying 21 – 40 of 280

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Displaying 21 – 40 of 280

A viscosity solution method for Shape-From-Shading without image boundary data

Almost periodic viscosity solutions of nonlinear parabolic equations.

𝒞1,β regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations

An approximation theorem for solutions of degenerate semilinear elliptic equations

An existence and approximation theorem for solutions of degenerate quasilinear elliptic equations

An existence proof for the stationary compressible Stokes problem

Analytical results on a model for damaging in domains and interfaces

Analytical results on a model for damaging in domains and interfaces*

Anisotropic parabolic equations with variable nonlinearity.

Approximation of initial and boundary value problems for quasilinear first order equations

A-Quasiconvexity: Relaxation and Homogenization

Asymptotic behavior and non-existence theorems for semilinear Dirichlet problems involving critical exponent on unbounded domains of the Heisenberg group

Asymptotic representation of solutions to the Dirichlet problem for elliptic systems with discontinuous coefficients near the boundary.

Asymptotics of solutions to the Dirichlet-Cauchy problem for parabolic equations in domains with edges

Autour du problème des vortex patches

Borderline sharp estimates for solutions to Neumann problems.

Boundary value problems for quasi-linear elliptic second order equations in unbounded cone-like domains

Bounded weak solutions to nonlinear elliptic equations.

Calculations of the hurricane eye motion based on singularity propagation theory.

Cauchy-Neumann problem for second-order general Schrödinger equations in cylinders with nonsmooth bases.

Currently displaying 21 – 40 of 280