Existencia y unicidad de la solución de una desigualdad variacional elíptica en espacios de Hilbert
No Thumbnail Available
Date
2024
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Universidad Nacional de Trujillo
Abstract
En la actualidad, las desigualdades variacionales y problemas de contacto han alcanzado mucha relevancia debido a que los métodos variacionales han proporcionado una de las técnicas más poderosas en el estudio de problemas de contacto y, por otro lado, las formulaciones variacionales de los problemas de contacto son, en la mayoría de los casos, desigualdades variacionales. En los últimos 60 años, las desigualdades variacionales se convirtieron en una herramienta poderosa en la matemática para el estudio de muchos problemas no lineales de física y mecánica. Existen diferentes tipos de desigualdades variacionales, tales como parabólicas, elípticas, problemas quasi variacionales, desigualdades variacionales simultáneas, problemas variacionales implícitos. En este trabajo, se presentará un resultado relacionado con la existencia y unicidad de la solución de una desigualdad variacional elíptica en un espacio de Hilbert. Este trabajo termina demostrando la existencia y unicidad de una desigualdad variacional de primer tipo y de segundo tipo
Abstract At present, variational inequalities and contact problems have reached much relevance because the variational methods have provided one of the most powerful techniques in the study of contact problems and, on the other hand, Variational formulations of contact problems are, in most of cases, variational inequalities. In the last 60 years, variational inequalities they became a powerful tool in attic mathematics for the study of many nonlinear problems of physics and mechanics. There are different types of inequalities variational, such as parabolic, the elliptical, quasi-variational problems, inequalities simultaneous variational problems, implicit variational problems, etc. In this work, a result related to the existence and uniqueness of the solution of a variational inequality the elliptical in a Hilbert space. This work concludes by demonstrating the existence and uniqueness of a variational first kind and of the second kind
Abstract At present, variational inequalities and contact problems have reached much relevance because the variational methods have provided one of the most powerful techniques in the study of contact problems and, on the other hand, Variational formulations of contact problems are, in most of cases, variational inequalities. In the last 60 years, variational inequalities they became a powerful tool in attic mathematics for the study of many nonlinear problems of physics and mechanics. There are different types of inequalities variational, such as parabolic, the elliptical, quasi-variational problems, inequalities simultaneous variational problems, implicit variational problems, etc. In this work, a result related to the existence and uniqueness of the solution of a variational inequality the elliptical in a Hilbert space. This work concludes by demonstrating the existence and uniqueness of a variational first kind and of the second kind
Description
Keywords
Desigualdad variacional, desigualdad variacional elíptica