Dirichlet Problems
Mostrando 13-15 de 15 artigos, teses e dissertações.
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13. Minimax Principles for the Solution of Semilinear Gradient Operator Equations in Hilbert Space
A new variational characterization of solutions for an important class of nonlinear operator equations is obtained. The result obtained is used to derive sharp necessary and sufficient conditions for the solvability of such operator equations. Examples of the applicability of the results obtained to nonlinear Dirichlet problems and global differential geomet
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14. Strongly nonlinear parabolic initial-boundary value problems
An existence and uniqueness result is presented for the solution of a parabolic initial-boundary value problem under Dirichlet null boundary conditions for a general parabolic equation of order 2m with a strongly nonlinear zeroth-order perturbation. This is the parabolic generalization of a class of elliptic results considered earlier by the writers and othe
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15. Ordered upwind methods for static Hamilton–Jacobi equations
We introduce a family of fast ordered upwind methods for approximating solutions to a wide class of static Hamilton–Jacobi equations with Dirichlet boundary conditions. Standard techniques often rely on iteration to converge to the solution of a discretized version of the partial differential equation. Our fast methods avoid iteration through a carefu
The National Academy of Sciences.