Christoph grunau (30 risultati)

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Paperback. Condizione: New. 2010 ed. Linear elliptic equations arise in several models describing various phenomena in the applied sciences, the most famous being the second order stationary heat eq- tion or,equivalently,the membraneequation. Forthis intensivelywell-studiedlinear problem there are two main lines of results. The ?rst line consists of existence and regularity results. Usually the solution exists and "gains two orders of differen- ation" with respect to the source term. The second line contains comparison type results, namely the property that a positive source term implies that the solution is positive under suitable side constraints such as homogeneous Dirichlet bou- ary conditions. This property is often also called positivity preserving or, simply, maximum principle. These kinds of results hold for general second order elliptic problems, see the books by Gilbarg-Trudinger [198] and Protter-Weinberger [347]. For linear higher order elliptic problems the existence and regularitytype results - main, as one may say, in their full generality whereas comparison type results may fail. Here and in the sequel "higher order" means order at least four. Most interesting models, however, are nonlinear.By now, the theory of second order elliptic problems is quite well developed for semilinear, quasilinear and even for some fully nonlinear problems. If one looks closely at the tools being used in the proofs, then one ?nds that many results bene?t in some way from the positivity preserving property. Techniques based on Harnack's inequality, De Giorgi-Nash- Moser's iteration, viscosity solutions etc.…

Softcover. Condizione: Sehr gut. Mchn., Oldenbourg (1999). gr.8°. Einige Abb. XI, 273 S. OKart. (Kopfschnitt etwas fleckig).

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Condizione: New. In English.

Paperback. Condizione: New. 2010 ed. Linear elliptic equations arise in several models describing various phenomena in the applied sciences, the most famous being the second order stationary heat eq- tion or,equivalently,the membraneequation. Forthis intensivelywell-studiedlinear problem there are two main lines of results. The ?rst line consists of existence and regularity results. Usually the solution exists and "gains two orders of differen- ation" with respect to the source term. The second line contains comparison type results, namely the property that a positive source term implies that the solution is positive under suitable side constraints such as homogeneous Dirichlet bou- ary conditions. This property is often also called positivity preserving or, simply, maximum principle. These kinds of results hold for general second order elliptic problems, see the books by Gilbarg-Trudinger [198] and Protter-Weinberger [347]. For linear higher order elliptic problems the existence and regularitytype results - main, as one may say, in their full generality whereas comparison type results may fail. Here and in the sequel "higher order" means order at least four. Most interesting models, however, are nonlinear.By now, the theory of second order elliptic problems is quite well developed for semilinear, quasilinear and even for some fully nonlinear problems. If one looks closely at the tools being used in the proofs, then one ?nds that many results bene?t in some way from the positivity preserving property. Techniques based on Harnack's inequality, De Giorgi-Nash- Moser's iteration, viscosity solutions etc.…

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Hardback. Condizione: New. Genetics and its mysterious little sister, epigenetics, have deep roots in the history of biology. Today, epigenetics is of paramount importance in not only the fundamental sciences, but also in life science applications, ranging from molecular biology, and disease diagnosis and treatment, to agriculture. Epigenetics in Ecology and Evolution traces the history of the concept of epigenetics in biology and describes the molecular mechanisms concerned. It examines the contributions that the emerging discipline of epigenetics has made to the fields of ecology and evolution, regarding both plant and animal organisms, as well as its place in our society. By exploring the importance of epigenetics at varying levels, from the cell to the organism as a whole, and even to the ecosystem, this book offers answers that are accessible to a wide audience, from scientifically curious citizens to students and professionals working in the world of biology. The aim is to enable everyone to acquire or develop a critical and informed perspective on the complex relationships between genetics and epigenetics.…

Condizione: New. 2025. 1st Edition. hardcover. . . . . .

Condizione: New. 2025. 1st Edition. hardcover. . . . . . Books ship from the US and Ireland.

Buch. Condizione: Neu. Neuware - Genetics and its mysterious little sister, epigenetics, have deep roots in the history of biology. Today, epigenetics is of paramount importance in not only the fundamental sciences, but also in life science applications, ranging from molecular biology, and disease diagnosis and treatment, to agriculture. Epigenetics in Ecology and Evolution traces the history of the concept of epigenetics in biology and describes the molecular mechanisms concerned. It examines the contributions that the emerging discipline of epigenetics has made to the fields of ecology and evolution, regarding both plant and animal organisms, as well as its place in our society. By exploring the importance of epigenetics at varying levels, from the cell to the organism as a whole, and even to the ecosystem, this book offers answers that are accessible to a wide audience, from scientifically curious citizens to students and professionals working in the world of biology. The aim is to enable everyone to acquire or develop a critical and informed perspective on the complex relationships between genetics and epigenetics.…

Hardback. Condizione: New. Genetics and its mysterious little sister, epigenetics, have deep roots in the history of biology. Today, epigenetics is of paramount importance in not only the fundamental sciences, but also in life science applications, ranging from molecular biology, and disease diagnosis and treatment, to agriculture. Epigenetics in Ecology and Evolution traces the history of the concept of epigenetics in biology and describes the molecular mechanisms concerned. It examines the contributions that the emerging discipline of epigenetics has made to the fields of ecology and evolution, regarding both plant and animal organisms, as well as its place in our society. By exploring the importance of epigenetics at varying levels, from the cell to the organism as a whole, and even to the ecosystem, this book offers answers that are accessible to a wide audience, from scientifically curious citizens to students and professionals working in the world of biology. The aim is to enable everyone to acquire or develop a critical and informed perspective on the complex relationships between genetics and epigenetics.…

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Condizione: good. Befriedigend/Good: Durchschnittlich erhaltenes Buch bzw. Schutzumschlag mit Gebrauchsspuren, aber vollständigen Seiten. / Describes the average WORN book or dust jacket that has all the pages present.

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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Models of Higher Order.- Linear Problems.- Eigenvalue Problems.- Kernel Estimates.- Positivity and Lower Order Perturbations.- Dominance of Positivity in Linear Equations.- Semilinear Problems.- Willmore Surfaces of Revolution.This monograph covers .…

Hardcover. Condizione: new. Hardcover. Genetics and its mysterious little sister, epigenetics, have deep roots in the history of biology. Today, epigenetics is of paramount importance in not only the fundamental sciences, but also in life science applications, ranging from molecular biology, and disease diagnosis and treatment, to agriculture. Epigenetics in Ecology and Evolution traces the history of the concept of epigenetics in biology and describes the molecular mechanisms concerned. It examines the contributions that the emerging discipline of epigenetics has made to the fields of ecology and evolution, regarding both plant and animal organisms, as well as its place in our society. By exploring the importance of epigenetics at varying levels, from the cell to the organism as a whole, and even to the ecosystem, this book offers answers that are accessible to a wide audience, from scientifically curious citizens to students and professionals working in the world of biology. The aim is to enable everyone to acquire or develop a critical and informed perspective on the complex relationships between genetics and epigenetics. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

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