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Displaying 21 – 25 of 25

On the structure of layers for singularly perturbed equations in the case of unbounded energy

E. Sanchez-Palencia (2002)

ESAIM: Control, Optimisation and Calculus of Variations

We consider singular perturbation variational problems depending on a small parameter $ε$ . The right hand side is such that the energy does not remain bounded as $ε \to 0$ . The asymptotic behavior involves internal layers where most of the energy concentrates. Three examples are addressed, with limits elliptic, parabolic and hyperbolic respectively, whereas the problems with $ε > 0$ are elliptic. In the parabolic and hyperbolic cases, the propagation of singularities appear as an integral property after integrating...

On the structure of layers for singularly perturbed equations in the case of unbounded energy

E. Sanchez–Palencia (2010)

ESAIM: Control, Optimisation and Calculus of Variations

We consider singular perturbation variational problems depending on a small parameter ε. The right hand side is such that the energy does not remain bounded as ε → 0. The asymptotic behavior involves internal layers where most of the energy concentrates. Three examples are addressed, with limits elliptic, parabolic and hyperbolic respectively, whereas the problems with ε > 0 are elliptic. In the parabolic and hyperbolic cases, the propagation of singularities appear as an integral property after...

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

On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem for certain differential equations of the type $u_{x y} = f (x, y, u, u_{x}, u_{y})$

Vladimír Ďurikovič (1968)

Archivum Mathematicum

One iterative method concerning the solution of Dirichlet's problem

Emil Humhal (1976)

Aplikace matematiky

Displaying 21 – 25 of 25

On the structure of layers for singularly perturbed equations in the case of unbounded energy

On the structure of layers for singularly perturbed equations in the case of unbounded energy

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

On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem for certain differential equations of the type u x y = f ( x , y , u , u x , u y )

One iterative method concerning the solution of Dirichlet's problem

Currently displaying 21 – 25 of 25

On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem for certain differential equations of the type $u_{x y} = f (x, y, u, u_{x}, u_{y})$