Partial Differential Equations II

By B. Davies. 2002

267 citations recorded by the source corpus.

Subfields: Numerical Analysis, Ocean Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/069ee915f3c880ef4eaf999a6eca79d937ebaae7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Numerical Analysis

1. A. V. Kolesnikov
2. Morten Nielsen
3. BY Matti Lassas
4. Emanuel Milman
5. Gunther Uhlmann
6. Athanasios G. Georgiadis

In Ocean Engineering

1. A. V. Kolesnikov
2. Morten Nielsen
3. BY Matti Lassas
4. Emanuel Milman
5. Gunther Uhlmann
6. Athanasios G. Georgiadis

In Statistical and Nonlinear Physics

1. A. V. Kolesnikov
2. Morten Nielsen
3. BY Matti Lassas
4. Emanuel Milman
5. Gunther Uhlmann
6. Athanasios G. Georgiadis

Citations in the corpus

• Heat Invariants of the Steklov Problem (2013, unknown): “12, Proposition C1 in [Tay]).”
• Pseudodifferential operators on mixed‐norm Besov and Triebel–Lizorkin spaces (2016, background): “Pseudodifferential operators have been studied in depth in the Euclidean setting and on groups, see for example [5]–[7], [10], [23], [24], [29], [30], [33] and the references therein.”
• The scattering support (2003, unknown): “[9],page 147).”
• Brascamp–Lieb-Type Inequalities on Weighted Riemannian Manifolds with Boundary (2013, background): “[46]) that the symmetric operator −L on L2(μ) with domain C∞(M) or C∞ 0 (M) admits a (unique) self-adjoint positive semi-definite extension, called the Neumann and Dirichlet (negative) Laplacian, respectively.”
• On determining a Riemannian manifold from the Dirichlet-to-Neumann map (2001, background): “Moreover,G(x, y) is at leastC-smooth whenx = y and wheny is near to a givenx it has the asymptotics ([12], Section 7.”
• Poincaré and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds (2017, background): “[74]) that the symmetric operator −L∂M on L(2)(μ∂M ) with domain C1(∂M) admits a (unique) self-adjoint positive semi-definite extension having discrete non-negative spectrum with corresponding complete orthonormal bases of eigenfunctions.”
• Boundedness and compactness characterizations of Cauchy integral commutators on Morrey spaces (2018, background): “Since then, there have been a lot of articles concerning the boundedness and the compactness of commutators on function spaces as well as their applications in PDEs (see, for example, [7, 19, 4, 28, 37, 35, 18, 30] and references therein).”