Richard Melrose
- Singularities of boundary value problems. I
1978/09/01 by R. B. Melrose, Richard Melrose, Johannes Sjöstrand +1 · 29 citations
Mathematics · Engineering · #Numerical methods for differential equations #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Boundary Problems
- The propagation of singularities along gliding rays
1977/10/01 by Karl Gustav Andersson, K. G. Andersson, Richard Melrose +1 · 4 citations
Mathematics · Computer Science · #Geometric Analysis and Curvature Flows #Advanced Mathematical Modeling in Engineering #Spectral Theory in Mathematical Physics
- Propagation of singularities for the wave equation on conic manifolds
2001/11/23 by Richard Melrose, Jared Wunsch, Melrose, Richard +1 · 3 citations
Mathematics · Physics and Astronomy · #35L05 #58J47 (Primary) 58J40 (Secondary) #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.CA #math.MP #msc:35L05 #msc:58J40 #msc:58J47
- Homology of pseudodifferential operators I. Manifolds with boundary
1996/06/21 by Richard Melrose, Melrose, Richard B., Victor Nistor +1 · 3 citations
Mathematics · #46L80 #58G12 (Primary) 19K56 #58G15 (Secondary) #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #High Energy Physics - Theory (hep-th) #Operator Algebras (math.OA)
- Pseudodifferential operators on manifolds with fibred boundaries
1998/12/18 by Rafe Mazzeo, Mazzeo, Rafe, Richard B. Melrose +2 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory #math.AP #math.DG
- Generalized backscattering and the Lax-Phillips transform
2007/12/27 by Richard Melrose, Melrose, Richard, Günther Uhlmann +1 · 1 citation
Earth and Planetary Sciences · Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in engineering #Numerical methods in inverse problems #Seismic Imaging and Inversion Techniques
- Propagation of singularities for the wave equation on edge manifolds
2006/12/24 by Richard Melrose, András Vasy, Melrose, Richard +3 · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics
- Equivalence of string and fusion loop-spin structures
2013/09/01 by Chris Kottke, Kottke, Chris, Richard Melrose +1 · 1 citation
Mathematics · Physics and Astronomy · #Homotopy and Cohomology in Algebraic Topology #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories
- Singularities and the wave equation on conic spaces
2000/10/12 by Richard Melrose, Richard B. Melrose, Jared Wunsch +2 · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics #math.AP