Mohlo by sa vám tiež páčiť

Viac informácií o knihe Partial Differential Equations

• Parametre knihy
• Anotácia kniha
• Obľúbené z iného súdka

Nákupom získate 362 bodov

Anotácia knihy

This book presents a simple and novel theory of integration, both real and vectorial, particularly suitable for the study of PDEs. This theory allows for integration with values in a Neumann space E, i.e. in which all Cauchy sequences converge, encompassing Neumann and Fréchet spaces, as well as "weak" spaces and distribution spaces. We integrate "integrable measures", which are equivalent to "classes of integrable functions which are a.e. equals" when E is a Fréchet space. More precisely, we associate the measure f with a class f, where f(u) is the integral of fu for any test function u. The classic space Lp(O;E) is the set of f, and ours is the set of f; these two spaces are isomorphic. Integration studies, in detail, for any Neumann space E, the properties of the integral and of Lp(O;E): regularization, image by a linear or multilinear application, change of variable, separation of multiple variables, compacts and duals. When E is a Fréchet space, we study the equivalence of the two definitions and the properties related to dominated convergence.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics

• Celý názov: Partial Differential Equations
• Autor: Jacques Simon
• Jazyk: Angličtina
• Väzba: Pevná
• Počet strán: 448
• EAN: 9781786300133
• ISBN: 9781786300133
• ID: 15403618
• Nakladateľ: ISTE Ltd
• Hmotnosť: 666 g
• Dátum vydania: 09. December 2020

Obľúbené z iného súdka

---

---

---