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Melrose, Richard Burt

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Author ID: melrose.richard-b Recent zbMATH articles by "Melrose, Richard Burt"
Published as: Melrose, R.; Melrose, R. B.; Melrose, Richard; Melrose, Richard B.
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Documents Indexed: 111 Publications since 1975, including 6 Books

Publications by Year

Citations contained in zbMATH Open

100 Publications have been cited 2,464 times in 1,389 Documents Cited by Year
The Atiyah-Patodi-Singer index theorem. Zbl 0796.58050
Melrose, Richard B.
287
1993
Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature. Zbl 0636.58034
Mazzeo, Rafe R.; Melrose, Richard B.
161
1987
Geometric scattering theory. Zbl 0849.58071
Melrose, Richard B.
152
1995
Spectral and scattering theory for the Laplacian on asymptotically Euclidean spaces. Zbl 0837.35107
Melrose, Richard B.
103
1994
Singularities of boundary value problems. I. Zbl 0368.35020
Melrose, R. B.; Sjöstrand, J.
103
1978
Transformation of boundary problems. Zbl 0492.58023
Melrose, Richard B.
69
1981
Calculus of conormal distributions on manifolds with corners. Zbl 0754.58035
Melrose, Richard B.
68
1992
Singularities and energy decay in acoustical scattering. Zbl 0415.35050
Melrose, R. B.
66
1979
Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle. Zbl 0591.58034
Melrose, Richard B.; Taylor, Michael E.
65
1985
Singularities of boundary value problems. II. Zbl 0546.35083
Melrose, R. B.; Sjöstrand, J.
59
1982
Lagrangian intersection and the Cauchy problem. Zbl 0396.58006
Melrose, R. B.; Uhlmann, G. A.
59
1979
Pseudodifferential operators on manifolds with fibred boundaries. Zbl 1125.58304
Mazzeo, Rafe; Melrose, Richard B.
58
1998
Equivalence of glancing hyper-surfaces. Zbl 0354.53033
Melrose, R. B.
53
1976
Resolvent of the Laplacian on strictly pseudoconvex domains. Zbl 0758.32010
Epstein, C. L.; Melrose, R. B.; Mendoza, G. A.
52
1991
Boundary behaviour of the complex Monge-Ampère equation. Zbl 0496.35042
Lee, John; Melrose, Richard
51
1982
The propagation of singularities along gliding rays. Zbl 0373.35053
Andersson, K. G.; Melrose, R. B.
49
1977
Interaction of nonlinear progressing waves for semilinear wave equations. Zbl 0575.35063
Melrose, Richard; Ritter, Niles
47
1985
Scattering metrics and geodesic flow at infinity. Zbl 0855.58058
Melrose, Richard; Zworski, Maciej
41
1996
Microlocal parametrices for diffractive boundary value problems. Zbl 0368.35055
Melrose, Richard B.
41
1975
Families of Dirac operators, boundaries and the \(B\)-calculus. Zbl 0955.58020
Melrose, Richard B.; Piazza, Paolo
37
1997
Polynomial bound on the number of scattering poles. Zbl 0535.35067
Melrose, Richard
37
1983
Analytic \(K\)-theory on manifolds with corners. Zbl 0761.55002
Melrose, Richard B.; Piazza, Paolo
35
1992
The Poisson summation formula for manifolds with boundary. Zbl 0421.35082
Guillemin, Victor; Melrose, Richard
34
1979
The adiabatic limit, Hodge cohomology and Leray’s spectral sequence for a fibration. Zbl 0702.58007
Mazzeo, Rafe R.; Melrose, Richard B.
30
1990
Pseudodifferential operators, corners and singular limits. Zbl 0743.58033
Melrose, Richard B.
28
1991
\(K\)-theory of \(C^*\)-algebras of b-pseudodifferential operators. Zbl 0898.46060
Melrose, R.; Nistor, V.
26
1998
Weyl asymptotics for the phase in obstacle scattering. Zbl 0686.35089
Melrose, Richard B.
26
1988
Spectral invariants of convex planar regions. Zbl 0492.53033
Marvizi, Shahla; Melrose, Richard
25
1982
Asymptotics of solutions of the wave equation on de Sitter-Schwarzschild space. Zbl 1286.35145
Melrose, Richard; Barreto, Antônio Sá; Vasy, András
24
2014
Scattering theory and the trace of the wave group. Zbl 0525.47007
Melrose, Richard
23
1982
Microlocal structure of involutive conical refraction. Zbl 0422.58026
Melrose, R. B.; Uhlmann, G. A.
23
1979
The eta invariant and families of pseudodifferential operators. Zbl 0934.58025
Melrose, Richard B.
22
1995
Analytic surgery and the accumulation of eigenvalues. Zbl 0854.58039
Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B.
21
1995
The index of projective families of elliptic operators. Zbl 1083.58021
Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M.
20
2005
Weyl’s conjecture for manifolds with concave boundary. Zbl 0436.58024
Melrose, R. B.
20
1980
Index in \(K\)-theory for families of fibred cusp operators. Zbl 1126.58010
Melrose, Richard; Rochon, Frédéric
18
2006
An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary. Zbl 0920.58053
Melrose, Richard B.; Piazza, Paolo
18
1997
Spectral and scattering theory for symbolic potentials of order zero. Zbl 1038.35085
Hassell, Andrew; Melrose, Richard; Vasy, András
17
2004
Analytic surgery and the eta invariant. Zbl 0838.57022
Mazzeo, R. R.; Melrose, R. B.
17
1995
Interaction of progressing waves for semilinear wave equations. II. Zbl 0653.35058
Melrose, Richard B.; Ritter, Niles
17
1987
Propagation of singularities for the wave equation on conic manifolds. Zbl 1088.58011
Melrose, Richard; Wunsch, Jared
16
2004
Polynomial bound on the distribution of poles in scattering by an obstacle. Zbl 0621.35073
Melrose, Richard
15
1984
Forward scattering by a convex obstacle. Zbl 0435.35066
Melrose, R. B.
15
1980
A mod \(k\) index theorem. Zbl 0760.58039
Freed, Daniel S.; Melrose, Richard B.
14
1992
The Cauchy problem for effectively hyperbolic operators. Zbl 0544.35094
Melrose, Richard
13
1983
Analytic continuation and semiclassical resolvent estimates on asymptotically hyperbolic spaces. Zbl 1323.58020
Melrose, Richard; Barreto, Antônio Sá; Vasy, András
12
2014
Fractional analytic index. Zbl 1115.58021
Mathai, V.; Melrose, R. B.; Singer, I. M.
12
2006
Contact degree and the index of Fourier integral operators. Zbl 0929.58012
Epstein, Charles; Melrose, Richard
12
1998
Equivalence of glancing hypersurfaces. II. Zbl 0472.53045
Melrose, R. B.
12
1981
Local Fourier-Airy integral operators. Zbl 0368.35054
Melrose, Richard B.
12
1975
Microlocal propagation near radial points and scattering for symbolic potentials of order zero. Zbl 1152.35454
Hassell, Andrew; Melrose, Richard; Vasy, András
11
2008
The radiation pattern of a diffracted wave near the shadow boundary. Zbl 0632.35056
Melrose, Richard B.; Taylor, Michael E.
11
1986
Propagation of singularities for the wave equation on edge manifolds. Zbl 1147.58029
Melrose, Richard; Vasy, András; Wunsch, Jared
10
2008
A signature formula for manifolds with corners of codimension two. Zbl 0883.58038
Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B.
9
1997
A cohomological invariant of discrete dynamical systems. Zbl 0482.58032
Guillemin, Victor; Melrose, Richard
9
1981
The wave front set of the solution of a simple initial-boundary value problem with glancing rays. II. Zbl 0356.35056
Friedlander, F. G.; Melrose, R. B.
9
1977
The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006
Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M.
8
2009
The wave equation for a hypoelliptic operator with symplectic characteristics of codimension two. Zbl 0599.35139
Melrose, Richard B.
8
1985
The trace of the wave group. Zbl 0547.35095
Melrose, Richard
8
1984
Airy operators. Zbl 0384.35052
Melrose, R. B.
8
1978
Families index for pseudodifferential operators on manifolds with boundary. Zbl 1086.58011
Melrose, Richard; Rochon, Frédéric
7
2004
Semi-linear diffraction of conormal waves. Zbl 0902.35004
Melrose, Richard B.; Sá Barreto, Antônio; Zworski, Maciej
7
1996
Propagation for the wave group of a positive subelliptic second-order differential operator. Zbl 0696.35064
Melrose, Richard
7
1986
Generalized blow-up of corners and fiber products. Zbl 1372.57042
Kottke, Chris; Melrose, Richard B.
6
2015
Adiabatic limit, heat kernel and analytic torsion. Zbl 1318.58019
Dai, Xianzhe; Melrose, Richard B.
6
2012
Fredholm realizations of elliptic symbols on manifolds with boundary. Zbl 1161.58011
Albin, Pierre; Melrose, Richard
6
2009
Fibrations, compactifications and algebras of pseudodifferential operators. Zbl 0853.35142
Melrose, Richard B.
6
1996
Normal self-intersections of the characteristic variety. Zbl 0336.35017
Melrose, Richard B.
6
1975
Diffraction of singularities for the wave equation on manifolds with corners. Zbl 1277.35004
Melrose, Richard; Vasy, András; Wunsch, Jared
5
2013
Resolution of smooth group actions. Zbl 1218.58009
Albin, Pierre; Melrose, Richard
5
2011
An inverse spectral result for elliptical regions of \(\mathbb{R}^2\). Zbl 0415.35062
Guillemin, Victor; Melrose, Richard
5
1979
Generalized backscattering and the Lax-Phillips transform. Zbl 1199.35270
Melrose, R.; Uhlmann, G.
4
2008
Geometric optics and the bottom of the spectrum. Zbl 0889.35129
Melrose, Richard B.
4
1997
Interaction of progressing waves through a nonlinear potential. Zbl 0554.35085
Melrose, R. B.
4
1984
Hypoelliptic operators with characteristic variety of codimension two and the wave equation. Zbl 0468.35032
Melrose, R. B.
4
1980
Differential boundary value problems of principal type. Zbl 0447.35053
Melrose, R. B.
4
1979
The Cauchy problem with polynomial growth conditions for partial differential operators with constant coefficients. Zbl 0337.35012
Melrose, R. B.
4
1975
Resolution of the canonical fiber metrics for a Lefschetz fibration. Zbl 1404.30047
Melrose, Richard; Zhu, Xuwen
3
2018
Geometry of pseudodifferential algebra bundles and Fourier integral operators. Zbl 1397.58015
Mathai, Varghese; Melrose, Richard B.
3
2017
Relative Chern character, boundaries and index formulas. Zbl 1207.58020
Albin, Pierre; Melrose, Richard
3
2009
Star products and local line bundles. Zbl 1061.47064
Melrose, Richard
3
2004
Singularities and the wave equation on conic spaces. Zbl 1122.58302
Melrose, Richard B.; Wunsch, Jared
3
2001
Nonlinear interaction of a cusp and a plane. Zbl 0847.35086
Melrose, Richard B.; Sá Barreto, Antônio
3
1995
Semilinear waves with cusp singularities. Zbl 0656.35098
Melrose, Richard B.
3
1987
Singularities of solutions to boundary value problems. Zbl 0452.35120
Melrose, Richard B.
3
1980
Propagation of singularities along gliding rays. Zbl 0358.35048
Andersson, K. G.; Melrose, R.
3
1977
Loop-fusion cohomology and transgression. Zbl 1331.55002
Kottke, Chris; Melrose, Richard B.
2
2015
Periodicity and the determinant bundle. Zbl 1130.58013
Melrose, Richard; Rochon, Frédéric
2
2007
Scattering theory for strictly pseudoconvex domains. Zbl 0927.37034
Melrose, Richard
2
1999
Conormality, cusps and nonlinear interaction. Zbl 0794.35005
Melrose, Richard B.
2
1991
The Cauchy problem and propagation of singularities. Zbl 0599.35095
Melrose, Richard
2
1984
Transformation methods for boundary value problems. Zbl 0477.35087
Melrose, Richard B.
2
1981
Periodic solutions of certain nonlinear autonomous wave equations. Zbl 0315.35007
Melrose, Richard B.; Pemberton, Malcolm
2
1975
Eta forms and the odd pseudodifferential families index. Zbl 1239.58019
Melrose, Richard; Rochon, Frédéric
1
2011
Fredholm realizations of elliptic symbols on manifolds with boundary. II: Fibered boundary. Zbl 1217.58014
Albin, Pierre; Melrose, Richard
1
2010
Boundaries, eta invariant and the determinant bundle. Zbl 1196.58015
Melrose, Richard; Rochon, Frédéric
1
2008
Homology and the Heisenberg algebra. Joint work with C. Epstein and G. Mendoza. Zbl 1054.58013
Melrose, Richard
1
1997
Some spectrally isolated convex planar regions. Zbl 0504.53040
Marvizi, Shahla; Melrose, Richard B.
1
1982
Elliptic boundary problems on spaces with conic points. Zbl 0481.35004
Melrose, Richard B.; Mendoza, Gerardo A.
1
1981
Propagation de singularites pour des problèmes aux limites d’ordre 2. Zbl 0383.35043
Melrose, R. B.; Sjöstrand, J.
1
1978
Resolution of the canonical fiber metrics for a Lefschetz fibration. Zbl 1404.30047
Melrose, Richard; Zhu, Xuwen
3
2018
Geometry of pseudodifferential algebra bundles and Fourier integral operators. Zbl 1397.58015
Mathai, Varghese; Melrose, Richard B.
3
2017
Generalized blow-up of corners and fiber products. Zbl 1372.57042
Kottke, Chris; Melrose, Richard B.
6
2015
Loop-fusion cohomology and transgression. Zbl 1331.55002
Kottke, Chris; Melrose, Richard B.
2
2015
Asymptotics of solutions of the wave equation on de Sitter-Schwarzschild space. Zbl 1286.35145
Melrose, Richard; Barreto, Antônio Sá; Vasy, András
24
2014
Analytic continuation and semiclassical resolvent estimates on asymptotically hyperbolic spaces. Zbl 1323.58020
Melrose, Richard; Barreto, Antônio Sá; Vasy, András
12
2014
Diffraction of singularities for the wave equation on manifolds with corners. Zbl 1277.35004
Melrose, Richard; Vasy, András; Wunsch, Jared
5
2013
Adiabatic limit, heat kernel and analytic torsion. Zbl 1318.58019
Dai, Xianzhe; Melrose, Richard B.
6
2012
Resolution of smooth group actions. Zbl 1218.58009
Albin, Pierre; Melrose, Richard
5
2011
Eta forms and the odd pseudodifferential families index. Zbl 1239.58019
Melrose, Richard; Rochon, Frédéric
1
2011
Fredholm realizations of elliptic symbols on manifolds with boundary. II: Fibered boundary. Zbl 1217.58014
Albin, Pierre; Melrose, Richard
1
2010
The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006
Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M.
8
2009
Fredholm realizations of elliptic symbols on manifolds with boundary. Zbl 1161.58011
Albin, Pierre; Melrose, Richard
6
2009
Relative Chern character, boundaries and index formulas. Zbl 1207.58020
Albin, Pierre; Melrose, Richard
3
2009
Microlocal propagation near radial points and scattering for symbolic potentials of order zero. Zbl 1152.35454
Hassell, Andrew; Melrose, Richard; Vasy, András
11
2008
Propagation of singularities for the wave equation on edge manifolds. Zbl 1147.58029
Melrose, Richard; Vasy, András; Wunsch, Jared
10
2008
Generalized backscattering and the Lax-Phillips transform. Zbl 1199.35270
Melrose, R.; Uhlmann, G.
4
2008
Boundaries, eta invariant and the determinant bundle. Zbl 1196.58015
Melrose, Richard; Rochon, Frédéric
1
2008
Periodicity and the determinant bundle. Zbl 1130.58013
Melrose, Richard; Rochon, Frédéric
2
2007
Index in \(K\)-theory for families of fibred cusp operators. Zbl 1126.58010
Melrose, Richard; Rochon, Frédéric
18
2006
Fractional analytic index. Zbl 1115.58021
Mathai, V.; Melrose, R. B.; Singer, I. M.
12
2006
The index of projective families of elliptic operators. Zbl 1083.58021
Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M.
20
2005
Spectral and scattering theory for symbolic potentials of order zero. Zbl 1038.35085
Hassell, Andrew; Melrose, Richard; Vasy, András
17
2004
Propagation of singularities for the wave equation on conic manifolds. Zbl 1088.58011
Melrose, Richard; Wunsch, Jared
16
2004
Families index for pseudodifferential operators on manifolds with boundary. Zbl 1086.58011
Melrose, Richard; Rochon, Frédéric
7
2004
Star products and local line bundles. Zbl 1061.47064
Melrose, Richard
3
2004
Singularities and the wave equation on conic spaces. Zbl 1122.58302
Melrose, Richard B.; Wunsch, Jared
3
2001
Scattering theory for strictly pseudoconvex domains. Zbl 0927.37034
Melrose, Richard
2
1999
Pseudodifferential operators on manifolds with fibred boundaries. Zbl 1125.58304
Mazzeo, Rafe; Melrose, Richard B.
58
1998
\(K\)-theory of \(C^*\)-algebras of b-pseudodifferential operators. Zbl 0898.46060
Melrose, R.; Nistor, V.
26
1998
Contact degree and the index of Fourier integral operators. Zbl 0929.58012
Epstein, Charles; Melrose, Richard
12
1998
Families of Dirac operators, boundaries and the \(B\)-calculus. Zbl 0955.58020
Melrose, Richard B.; Piazza, Paolo
37
1997
An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary. Zbl 0920.58053
Melrose, Richard B.; Piazza, Paolo
18
1997
A signature formula for manifolds with corners of codimension two. Zbl 0883.58038
Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B.
9
1997
Geometric optics and the bottom of the spectrum. Zbl 0889.35129
Melrose, Richard B.
4
1997
Homology and the Heisenberg algebra. Joint work with C. Epstein and G. Mendoza. Zbl 1054.58013
Melrose, Richard
1
1997
Scattering metrics and geodesic flow at infinity. Zbl 0855.58058
Melrose, Richard; Zworski, Maciej
41
1996
Semi-linear diffraction of conormal waves. Zbl 0902.35004
Melrose, Richard B.; Sá Barreto, Antônio; Zworski, Maciej
7
1996
Fibrations, compactifications and algebras of pseudodifferential operators. Zbl 0853.35142
Melrose, Richard B.
6
1996
Geometric scattering theory. Zbl 0849.58071
Melrose, Richard B.
152
1995
The eta invariant and families of pseudodifferential operators. Zbl 0934.58025
Melrose, Richard B.
22
1995
Analytic surgery and the accumulation of eigenvalues. Zbl 0854.58039
Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B.
21
1995
Analytic surgery and the eta invariant. Zbl 0838.57022
Mazzeo, R. R.; Melrose, R. B.
17
1995
Nonlinear interaction of a cusp and a plane. Zbl 0847.35086
Melrose, Richard B.; Sá Barreto, Antônio
3
1995
Spectral and scattering theory for the Laplacian on asymptotically Euclidean spaces. Zbl 0837.35107
Melrose, Richard B.
103
1994
The Atiyah-Patodi-Singer index theorem. Zbl 0796.58050
Melrose, Richard B.
287
1993
Calculus of conormal distributions on manifolds with corners. Zbl 0754.58035
Melrose, Richard B.
68
1992
Analytic \(K\)-theory on manifolds with corners. Zbl 0761.55002
Melrose, Richard B.; Piazza, Paolo
35
1992
A mod \(k\) index theorem. Zbl 0760.58039
Freed, Daniel S.; Melrose, Richard B.
14
1992
Resolvent of the Laplacian on strictly pseudoconvex domains. Zbl 0758.32010
Epstein, C. L.; Melrose, R. B.; Mendoza, G. A.
52
1991
Pseudodifferential operators, corners and singular limits. Zbl 0743.58033
Melrose, Richard B.
28
1991
Conormality, cusps and nonlinear interaction. Zbl 0794.35005
Melrose, Richard B.
2
1991
The adiabatic limit, Hodge cohomology and Leray’s spectral sequence for a fibration. Zbl 0702.58007
Mazzeo, Rafe R.; Melrose, Richard B.
30
1990
Weyl asymptotics for the phase in obstacle scattering. Zbl 0686.35089
Melrose, Richard B.
26
1988
Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature. Zbl 0636.58034
Mazzeo, Rafe R.; Melrose, Richard B.
161
1987
Interaction of progressing waves for semilinear wave equations. II. Zbl 0653.35058
Melrose, Richard B.; Ritter, Niles
17
1987
Semilinear waves with cusp singularities. Zbl 0656.35098
Melrose, Richard B.
3
1987
The radiation pattern of a diffracted wave near the shadow boundary. Zbl 0632.35056
Melrose, Richard B.; Taylor, Michael E.
11
1986
Propagation for the wave group of a positive subelliptic second-order differential operator. Zbl 0696.35064
Melrose, Richard
7
1986
Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle. Zbl 0591.58034
Melrose, Richard B.; Taylor, Michael E.
65
1985
Interaction of nonlinear progressing waves for semilinear wave equations. Zbl 0575.35063
Melrose, Richard; Ritter, Niles
47
1985
The wave equation for a hypoelliptic operator with symplectic characteristics of codimension two. Zbl 0599.35139
Melrose, Richard B.
8
1985
Polynomial bound on the distribution of poles in scattering by an obstacle. Zbl 0621.35073
Melrose, Richard
15
1984
The trace of the wave group. Zbl 0547.35095
Melrose, Richard
8
1984
Interaction of progressing waves through a nonlinear potential. Zbl 0554.35085
Melrose, R. B.
4
1984
The Cauchy problem and propagation of singularities. Zbl 0599.35095
Melrose, Richard
2
1984
Polynomial bound on the number of scattering poles. Zbl 0535.35067
Melrose, Richard
37
1983
The Cauchy problem for effectively hyperbolic operators. Zbl 0544.35094
Melrose, Richard
13
1983
Singularities of boundary value problems. II. Zbl 0546.35083
Melrose, R. B.; Sjöstrand, J.
59
1982
Boundary behaviour of the complex Monge-Ampère equation. Zbl 0496.35042
Lee, John; Melrose, Richard
51
1982
Spectral invariants of convex planar regions. Zbl 0492.53033
Marvizi, Shahla; Melrose, Richard
25
1982
Scattering theory and the trace of the wave group. Zbl 0525.47007
Melrose, Richard
23
1982
Some spectrally isolated convex planar regions. Zbl 0504.53040
Marvizi, Shahla; Melrose, Richard B.
1
1982
Transformation of boundary problems. Zbl 0492.58023
Melrose, Richard B.
69
1981
Equivalence of glancing hypersurfaces. II. Zbl 0472.53045
Melrose, R. B.
12
1981
A cohomological invariant of discrete dynamical systems. Zbl 0482.58032
Guillemin, Victor; Melrose, Richard
9
1981
Transformation methods for boundary value problems. Zbl 0477.35087
Melrose, Richard B.
2
1981
Elliptic boundary problems on spaces with conic points. Zbl 0481.35004
Melrose, Richard B.; Mendoza, Gerardo A.
1
1981
Weyl’s conjecture for manifolds with concave boundary. Zbl 0436.58024
Melrose, R. B.
20
1980
Forward scattering by a convex obstacle. Zbl 0435.35066
Melrose, R. B.
15
1980
Hypoelliptic operators with characteristic variety of codimension two and the wave equation. Zbl 0468.35032
Melrose, R. B.
4
1980
Singularities of solutions to boundary value problems. Zbl 0452.35120
Melrose, Richard B.
3
1980
Singularities and energy decay in acoustical scattering. Zbl 0415.35050
Melrose, R. B.
66
1979
Lagrangian intersection and the Cauchy problem. Zbl 0396.58006
Melrose, R. B.; Uhlmann, G. A.
59
1979
The Poisson summation formula for manifolds with boundary. Zbl 0421.35082
Guillemin, Victor; Melrose, Richard
34
1979
Microlocal structure of involutive conical refraction. Zbl 0422.58026
Melrose, R. B.; Uhlmann, G. A.
23
1979
An inverse spectral result for elliptical regions of \(\mathbb{R}^2\). Zbl 0415.35062
Guillemin, Victor; Melrose, Richard
5
1979
Differential boundary value problems of principal type. Zbl 0447.35053
Melrose, R. B.
4
1979
Singularities of boundary value problems. I. Zbl 0368.35020
Melrose, R. B.; Sjöstrand, J.
103
1978
Airy operators. Zbl 0384.35052
Melrose, R. B.
8
1978
Propagation de singularites pour des problèmes aux limites d’ordre 2. Zbl 0383.35043
Melrose, R. B.; Sjöstrand, J.
1
1978
The propagation of singularities along gliding rays. Zbl 0373.35053
Andersson, K. G.; Melrose, R. B.
49
1977
The wave front set of the solution of a simple initial-boundary value problem with glancing rays. II. Zbl 0356.35056
Friedlander, F. G.; Melrose, R. B.
9
1977
Propagation of singularities along gliding rays. Zbl 0358.35048
Andersson, K. G.; Melrose, R.
3
1977
Equivalence of glancing hyper-surfaces. Zbl 0354.53033
Melrose, R. B.
53
1976
Microlocal parametrices for diffractive boundary value problems. Zbl 0368.35055
Melrose, Richard B.
41
1975
Local Fourier-Airy integral operators. Zbl 0368.35054
Melrose, Richard B.
12
1975
Normal self-intersections of the characteristic variety. Zbl 0336.35017
Melrose, Richard B.
6
1975
The Cauchy problem with polynomial growth conditions for partial differential operators with constant coefficients. Zbl 0337.35012
Melrose, R. B.
4
1975
Periodic solutions of certain nonlinear autonomous wave equations. Zbl 0315.35007
Melrose, Richard B.; Pemberton, Malcolm
2
1975
all top 5

Cited by 1,048 Authors

39 Vasy, András
33 Melrose, Richard Burt
28 Zworski, Maciej
23 Guillarmou, Colin
23 Uhlmann, Gunther Alberto
21 Hassell, Andrew
21 Nistor, Victor
21 Sá Barreto, Antônio
18 Mazzeo, Rafe R.
18 Petkov, Vesselin M.
18 Rochon, Frédéric
16 Stoyanov, Luchezar N.
15 Loya, Paul A.
15 Moroianu, Sergiu
14 Park, Jinsung
14 Sjöstrand, Johannes
14 Vertman, Boris
14 Wunsch, Jared
13 Christiansen, Tanya J.
12 Albin, Pierre
12 Coriasco, Sandro
12 Schrohe, Elmar
12 Wang, Yiran
11 Burq, Nicolas
11 Greenleaf, Allan
11 Perry, Peter A.
11 Piazza, Paolo
11 Schulze, Bert-Wolfgang
10 Dyatlov, Semyon
10 Lassas, Matti
10 Lauter, Robert
10 Vodev, Georgi
9 Krainer, Thomas
9 Leichtnam, Eric
9 Miranda, Eva
9 Spence, Euan A.
8 Borthwick, David
8 Lebeau, Gilles
8 Mendoza, Gerardo A.
8 Naud, Frédéric
8 Ponge, Raphaël S.
8 Sogge, Christopher D.
8 Zelditch, Steve
7 Baskin, Dean
7 Chen, Hua
7 Colin de Verdière, Yves
7 Felea, Raluca
7 Galkowski, Jeffrey
7 Joshi, Mark S.
7 Kaloshin, Vadim Yu.
7 Lescure, Jean-Marie
7 Popov, Georgi St.
7 Rowlett, Julie
7 Savin, Anton Yur’evich
7 Smyshlyaev, Valery P.
7 Stefanov, Plamen D.
7 Sternin, Boris Yur’evich
7 Taylor, Michael Eugene
7 Williams, Mark
6 Aloui, Lassaad
6 Cappiello, Marco
6 Dai, Xianzhe
6 Debord, Claire
6 Epstein, Charles Lawrence
6 Eskin, Gregory
6 Gell-Redman, Jesse
6 González, María del Mar
6 Hillairet, Luc
6 Hintz, Peter
6 Hislop, Peter D.
6 Lesch, Matthias
6 Novikov, Roman G.
6 Rauch, Jeffrey B.
6 Royer, Julien
6 Ruzhansky, Michael V.
6 Seiler, Jörg
6 Zhang, Junyong
6 Zhang, Weiping
5 Ascanelli, Alessia
5 Bahuaud, Eric
5 Barbagallo, Annamaria
5 Benameur, Moulay-Tahar
5 Biquard, Olivier
5 Bony, Jean-François
5 Bunke, Ulrich
5 Carrillo-Rouse, Paulo
5 Carron, Gilles
5 Campos de Carvalho, Catarina
5 Chang, Sun-Yung Alice
5 Comech, Andrew
5 Esposito, Vincenzo
5 Gannot, Oran
5 Hilgert, Joachim
5 Hunsicker, Eugenie
5 Kim, Seunghyeok
5 Krishnan, Venkateswaran P.
5 Kurylev, Yaroslav V.
5 Mathai, Varghese
5 Matsumoto, Yoshihiko
5 Metcalfe, Jason L.
...and 948 more Authors
all top 5

Cited in 205 Serials

111 Communications in Partial Differential Equations
100 Journal of Functional Analysis
66 Communications in Mathematical Physics
57 Duke Mathematical Journal
50 Advances in Mathematics
50 Transactions of the American Mathematical Society
47 Annales de l’Institut Fourier
40 The Journal of Geometric Analysis
29 Journal of Geometry and Physics
26 Mathematische Annalen
24 Journal of Mathematical Analysis and Applications
24 Journal of Differential Equations
22 Journal d’Analyse Mathématique
20 Annales Henri Poincaré
19 Inventiones Mathematicae
19 Mathematische Zeitschrift
16 Journal of Mathematical Physics
16 Annals of Global Analysis and Geometry
16 Geometric and Functional Analysis. GAFA
15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
15 Mathematische Nachrichten
14 Proceedings of the American Mathematical Society
13 Journal de Mathématiques Pures et Appliquées. Neuvième Série
13 Annales de l’Institut Henri Poincaré. Physique Théorique
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Journal für die Reine und Angewandte Mathematik
12 Journal of the American Mathematical Society
12 Geometry & Topology
12 Annals of Mathematics. Second Series
10 Acta Mathematica
10 SIAM Journal on Mathematical Analysis
10 Journal of Pseudo-Differential Operators and Applications
10 Journal of Spectral Theory
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Bulletin of the American Mathematical Society. New Series
8 Communications on Pure and Applied Mathematics
8 Proceedings of the Japan Academy. Series A
8 Calculus of Variations and Partial Differential Equations
8 Journal of Noncommutative Geometry
8 Journal of \(K\)-Theory
7 Letters in Mathematical Physics
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Arkiv för Matematik
7 Integral Equations and Operator Theory
7 The Journal of Fourier Analysis and Applications
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 Journal of the European Mathematical Society (JEMS)
6 Israel Journal of Mathematics
6 Bulletin de la Société Mathématique de France
6 Journal of the Mathematical Society of Japan
6 Monatshefte für Mathematik
6 Numerische Mathematik
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Differential Geometry and its Applications
6 Inverse Problems and Imaging
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Compositio Mathematica
5 Functional Analysis and its Applications
5 \(K\)-Theory
5 Journal of the Institute of Mathematics of Jussieu
5 Analysis & PDE
5 Nonlinear Analysis. Theory, Methods & Applications
4 Applicable Analysis
4 Archive for Rational Mechanics and Analysis
4 Inverse Problems
4 Nonlinearity
4 Journal of Soviet Mathematics
4 Memoirs of the American Mathematical Society
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Siberian Mathematical Journal
4 Acta Applicandae Mathematicae
4 Mémoires de la Société Mathématique de France. Nouvelle Série
4 Acta Mathematica Sinica. New Series
4 Communications in Contemporary Mathematics
4 Journal of Hyperbolic Differential Equations
4 Bulletin of Mathematical Sciences
4 Séminaire Laurent Schwartz. EDP et Applications
3 Computers & Mathematics with Applications
3 Journal of Computational Physics
3 Mathematical Methods in the Applied Sciences
3 Rocky Mountain Journal of Mathematics
3 Wave Motion
3 Reviews in Mathematical Physics
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Journal of Computational and Applied Mathematics
3 Manuscripta Mathematica
3 Pacific Journal of Mathematics
3 International Journal of Mathematics
3 Indagationes Mathematicae. New Series
3 Russian Journal of Mathematical Physics
3 Journal of Mathematical Sciences (New York)
3 Bulletin des Sciences Mathématiques
3 Electronic Research Announcements of the American Mathematical Society
3 Discrete and Continuous Dynamical Systems
3 Regular and Chaotic Dynamics
3 Acta Mathematica Sinica. English Series
3 Central European Journal of Mathematics
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Complex Variables and Elliptic Equations
3 Journal of Topology and Analysis
...and 105 more Serials
all top 5

Cited in 52 Fields

797 Partial differential equations (35-XX)
643 Global analysis, analysis on manifolds (58-XX)
272 Differential geometry (53-XX)
189 Operator theory (47-XX)
142 Quantum theory (81-XX)
82 Several complex variables and analytic spaces (32-XX)
81 Dynamical systems and ergodic theory (37-XX)
66 \(K\)-theory (19-XX)
65 Functional analysis (46-XX)
51 Relativity and gravitational theory (83-XX)
44 Optics, electromagnetic theory (78-XX)
42 Manifolds and cell complexes (57-XX)
35 Topological groups, Lie groups (22-XX)
34 Numerical analysis (65-XX)
30 Number theory (11-XX)
27 Harmonic analysis on Euclidean spaces (42-XX)
27 Algebraic topology (55-XX)
26 Ordinary differential equations (34-XX)
25 Mechanics of deformable solids (74-XX)
24 Algebraic geometry (14-XX)
22 Functions of a complex variable (30-XX)
20 Systems theory; control (93-XX)
17 Integral transforms, operational calculus (44-XX)
15 Mechanics of particles and systems (70-XX)
15 Fluid mechanics (76-XX)
12 Abstract harmonic analysis (43-XX)
11 Potential theory (31-XX)
11 Probability theory and stochastic processes (60-XX)
6 Group theory and generalizations (20-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 Integral equations (45-XX)
5 Geophysics (86-XX)
5 Biology and other natural sciences (92-XX)
4 Category theory; homological algebra (18-XX)
4 Astronomy and astrophysics (85-XX)
3 Combinatorics (05-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Nonassociative rings and algebras (17-XX)
3 Real functions (26-XX)
3 Measure and integration (28-XX)
3 Geometry (51-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
2 Convex and discrete geometry (52-XX)
2 General topology (54-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Commutative algebra (13-XX)
1 Difference and functional equations (39-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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