"The name of C.G.J. Jacobi is familiar to every student of mathematics, thanks to the Jacobion determinant, the Hamilton-Jacobi equations in dynamics, and the Jacobi identity for vector fields. Best known for his contributions to the theory of elliptic and abelian functions, Jac…
The name of C.G.J. Jacobi is familiar to every student of mathematics, thanks to the Jacobion determinant, the Hamilton-Jacobi equations in dynamics, and the Jacobi identity for vector fields. Best known for his contributions to the theory of elliptic and abelian functions, Jaco…
This book gives an extensive survey of many important topics in the theory of Hamilton-Jacobi equations with particular emphasis on modern approaches and viewpoints. Firstly, the basic well-posedness theory of viscosity solutions for first-order Hamilton-Jacobi equations is cove…
"This monograph presents theory of global attractors and of the long-time behavior of solutions of nonlinear Hamiltonian partial differential equations in infinite space. This theory was initiated by one of the authors in 1990 and was developed in collaboration with H. Spohn sin…
This monograph is the first to present the theory of global attractors of Hamiltonian partial differential equations. A particular focus is placed on the results obtained in the last three decades, with chapters on the global attraction to stationary states, to solitons, and to …
"This monograph is the first to present the theory of global attractors of Hamiltonian nonlinear partial differential equations. A particular focus is placed on the results obtained in the last three decades, with chapters on the global attraction to stationary states, to solito…
"This monograph presents theory of global attractors and of the long-time behavior of solutions of nonlinear Hamiltonian partial differential equations in infinite space. This theory was initiated by one of the authors in 1990 and was developed in collaboration with H. Spohn sin…
This largely self-contained book provides a unified framework of semi-Lagrangian strategy for the approximation of hyperbolic PDEs, with a special focus on Hamilton-Jacobi equations. The authors provide a rigorous discussion of the theory of viscosity solutions and the concepts …
