{"product_id":"trends-in-control-theory-and-partial-differential-equations-expert","title":"Trends in Control Theory and Partial Differential Equations - Expert","description":"\u003cp\u003eOur review of Trends in Control Theory and Partial Differential Equations explains why this volume is a focused, high-level reference for researchers and advanced graduate students working at the intersection of control theory and partial differential equations. Edited contributions collected in the Springer INdAM Series offer up-to-date perspectives on topics such as regularity of value functions, controllability of infinite dimensional systems, and analytical tools for PDE-driven control; the single biggest reason to buy is the concentration of current expertise and rigorous overviews assembled from leading authors in the field.\u003c\/p\u003e\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eComprehensive expert essays:\u003c\/strong\u003e Chapters compile recent developments and methods from specialists, providing a clear snapshot of the current state of research in control theory and PDEs.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eFocus on value function regularity:\u003c\/strong\u003e Treatments of Hamilton-Jacobi-Bellman equations clarify issues around generalized solutions relevant to deterministic and stochastic optimal control.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eControllability and observability emphasis:\u003c\/strong\u003e Several contributions develop analytical tools and results for controllability of infinite dimensional systems governed by PDEs, useful for researchers studying control of distributed systems.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eModern analytical techniques:\u003c\/strong\u003e Presentation of techniques used to bridge control theory and PDE analysis makes the volume a practical reference for proving new results or understanding current literature.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eCurated by field authorities:\u003c\/strong\u003e Edited by researchers with complementary expertise, the collection benefits from coherent curation and topical breadth within applied mathematics.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003eThis book is best for researchers, postdoctoral scholars, and advanced graduate students who already have a solid grounding in PDE theory or control theory and who want to explore current connections between the two areas. It is most useful as a reference for developing analytical tools or for informing research directions on controllability and value function regularity.\u003c\/p\u003e\n\u003cp\u003ePractitioners seeking elementary introductions or undergraduate textbooks should look elsewhere, since the volume assumes familiarity with functional analysis, PDEs, and optimal control concepts rather than providing step-by-step tutorials.\u003c\/p\u003e\n\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eContributions by leading experts give authoritative, up-to-date perspectives on core topics such as Hamilton-Jacobi-Bellman equations.\u003c\/li\u003e\n\u003cli\u003eThe emphasis on controllability and observability of PDE-governed systems provides valuable analytic tools for infinite dimensional control problems.\u003c\/li\u003e\n\u003cli\u003eThe curated essays present recent methods and connect disparate strands of research, making the book a strong research reference.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eThe volume is technical and assumes advanced background, so it is not suitable for beginners or those wanting a gentle introduction.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eSpecifications\u003c\/h2\u003e\n\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eTrends in Control Theory and Partial Differential Equations\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSeries\u003c\/td\u003e\n\u003ctd\u003eSpringer INdAM Series, 32\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eEditors \/ Authors\u003c\/td\u003e\n\u003ctd\u003eFatiha Alabau-Boussouira, Fabio Ancona, Alessio Porretta, Carlo Sinestrari\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSubject areas\u003c\/td\u003e\n\u003ctd\u003eControl theory; Partial differential equations; Optimal control\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eKey topics\u003c\/td\u003e\n\u003ctd\u003eValue function regularity; Hamilton-Jacobi-Bellman equations; Controllability; Observability\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eIntended audience\u003c\/td\u003e\n\u003ctd\u003eResearchers and advanced graduate students in applied mathematics\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003eTrends in Control Theory and Partial Differential Equations is a substantial, well-curated collection for specialists who need current, rigorous discussions connecting control theory and PDE analysis. For researchers and advanced students focused on controllability, observability, and value function regularity, it represents good value as a research reference, while those seeking introductory material should consider more elementary texts.\u003c\/p\u003e\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eIs this book suitable for beginners?\u003c\/strong\u003e\u003cbr\u003eNo. The volume assumes advanced knowledge of PDEs and control theory and is aimed at researchers and graduate students rather than novices.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eDoes the book cover Hamilton-Jacobi-Bellman theory?\u003c\/strong\u003e\u003cbr\u003eYes. Several contributions address the regularity of the value function and generalized solutions related to Hamilton-Jacobi-Bellman equations.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eWill this help with controllability problems?\u003c\/strong\u003e\u003cbr\u003eYes. The book includes modern analytical tools and results specifically addressing controllability and observability for infinite dimensional systems governed by PDEs.\u003c\/p\u003e","brand":"Fatiha Alabau-Boussouira, Fabio Ancona, Alessio Porretta, Carlo Sinestrari","offers":[{"title":"Default Title","offer_id":48145701568731,"sku":"3030179516","price":149.32,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/61LUlOdtknL._SL1254.jpg?v=1768918907","url":"https:\/\/gearmusthave.com\/products\/trends-in-control-theory-and-partial-differential-equations-expert","provider":"GearMustHave","version":"1.0","type":"link"}