Weak Solutions of Partial Differential Equations

This book offers a comprehensive introduction to the study of solutions of linear and nonlinear partial differential equations, covering elliptic, parabolic and hyperbolic types. It places particular emphasis on the concept of weak solution, a fundamental framework for addressing well-posed problems...

Deskribapen osoa

Gorde:
Xehetasun bibliografikoak
Egile Nagusiak: Gallouët, Thierry (Egilea), Herbin, Raphaèle (Egilea)
Erakunde egilea: SpringerLink (Online service)
Formatua: Baliabide elektronikoa eBook
Hizkuntza:ingelesa
Argitaratua: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Edizioa:1st ed. 2025.
Saila:Mathématiques et Applications, 90
Gaiak:
Sarrera elektronikoa:https://doi.org/10.1007/978-3-031-98982-7
Etiketak: Etiketa erantsi
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505 0 |a 1 Sobolev Spaces -- 2 Linear Elliptic Problems -- 3 Quasi-Linear Elliptic Problems -- 4 Parabolic Problems -- 5 Hyperbolic Problems. 
520 |a This book offers a comprehensive introduction to the study of solutions of linear and nonlinear partial differential equations, covering elliptic, parabolic and hyperbolic types. It places particular emphasis on the concept of weak solution, a fundamental framework for addressing well-posed problems in PDE theory. The book examines the existence and uniqueness of solutions for various types of PDEs, along with their key properties. Additionally, many of the methods introduced are also applicable for analyzing the convergence of numerical schemes used to approximate these equations. Based on courses taught by the authors, this book is primarily aimed at graduate students and contains numerous exercises and problems with detailed solutions. 
532 8 |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub. 
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532 8 |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com 
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650 0 |a Differential equations. 
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