Singular degenerate operators

References

• Chang D-C, Schulze B-W. Ellipticity on spaces with higher singularities. Sci China Math. 2016. DOI:10.1007/s11425-016-0519-9
   PubMedGoogle Scholar
• Chang D-C, Schulze B-W. Calculus on spaces with higher singularities. J Pseudo-Differ Oper Appl. 2017. DOI:10.1007/s11868-016-0180-x
   Google Scholar
• Schrohe E, Schulze B-W. Boundary value problems in Boutet de Monvel’s calculus for manifolds with conical singularities II. Adv in partial differential equations. Boundary value problems Schrödinger operators deformation quantization. Berlin: Akademie Verlag; 1995. p. 70–205.
   Google Scholar
• Schrohe E, Schulze B-W. Boundary value problems in Boutet de Monvel’s calculus for manifolds with conical singularities I. Adv in partial differential equations. Pseudo-differential calculus and mathematical physics. Berlin: Akademie Verlag; 1994. p. 97–209.
   Google Scholar
• Schulze B-W, Seiler J. The edge algebra structure of boundary value problems. Ann Glob Anal Geom. 2002;22:197–265.
   Web of Science ®Google Scholar
• Khalil S, Schulze B-W. Boundary problems on a manifold with edge. Asian-European J. Math. 2017;10(4). DOI:10.1142/S1793557117500875
   Web of Science ®Google Scholar
• Chang D-C, Hedayat M, Schulze B-W. Pseudo-differential analysis with twisted symbolic structure. J Nonlinear Convex Anal (JNCA). 2016;17(9):1889–1937.
   Web of Science ®Google Scholar
• Chang D-C, Qian T, Schulze B-W. Corner boundary value problems. Complex Anal Oper Theory. 2015;9(5):1157–1210.
   Web of Science ®Google Scholar
• Hedayat M, Schulze B-W. Corner boundary value problems. AEJM. 2017;10(1):55p. DOI:10.1142/S1793557117500541
   Web of Science ®Google Scholar
• Liu X, Schulze B-W. Boundary value problems with global projection conditions. Forthcoming. 2016.
   Google Scholar
• Lyu X, Schulze B-W. Mellin operators in the edge calculus. Complex Anal Oper Theory. 2016;10(5):965–1000.
   Web of Science ®Google Scholar
• Hedayat Mahmoudi M, Lyu X, Schulze B-W. Mellin symbols for higher singular operators. in preparation.
   Google Scholar
• Rungrottheera W, Schulze B-W. Weighted spaces on corner manifolds. Complex Variables Elliptic Equ. 2014;59(12):1706–1738.
   Web of Science ®Google Scholar
• Grubb G. Local and nonlocal boundary conditions for μ-transmission and fractional elliptic pseudo-differential operators. Anal Partial Differ Equ. 2014;7(7):1649–1682.
   Google Scholar
• Schulze B-W. Boundary value problems and singular pseudo-differential operators. Chichester: Wiley; 1998.
   Google Scholar
• Kohn J, Nirenberg L. An algebra of pseudo-differential operators. Commun Pure Appl Math. 1965;18:269–305.
   Web of Science ®Google Scholar
• Hörmander L. The analysis of linear partial differential operators. Vol. 12. New York (NY): Springer-Verlag; 1983.
   Google Scholar
• Hörmander L. Pseudo-differential operators. Commun Pure Appl Math. 1965;18(3):501–517.
   Web of Science ®Google Scholar
• Schulze B-W. Pseudo-differential operators on manifolds with edges, Teubner-Texte zur Mathematik Symp. Partial differential equations Holzhau 1988. Vol. 112. Leipzig: BSB Teubner; 1989. p. 259–287.
   Google Scholar
• Gil JB, Schulze B-W, Seiler J. Cone pseudodifferential operators in the edge symbolic calculus. Osaka J Math. 2000;37:221–260.
   Web of Science ®Google Scholar
• Seiler J. Pseudodifferential calculus on manifolds with non-compact edges. [Ph.D. thesis]. University of Potsdam, 1997.
   Google Scholar
• Schulze B-W. Pseudo-differential operators on manifolds with singularities. Amsterdam: North-Holland; 1991.
   Google Scholar
• Rempel S, Schulze B-W. Complete Mellin and Green symbolic calculus in spaces with conormal asymptotics. Ann Glob Anal Geom. 1986;4(2):137–224.
   Google Scholar
• Rempel S, Schulze B-W. Asymptotics for elliptic mixed boundary problems (pseudo-differential and Mellin operators in spaces with conormal singularity). Math. Research. Vol. 50. Berlin: Akademie-Verlag; 1989.
   Google Scholar
• Kumano-go H. Pseudo-differential operators. Cambridge: The MIT Press; 1981.
   Google Scholar
• Hedayat M, Schulze B-W, Tepoyan L. Continuous and variable branching asymptotics. J Pseudo-Differ Oper Appl. 2015;6:69–112. DOI:10.1007/s11868-015-0110-3
   Web of Science ®Google Scholar
• Schulze B-W, Wei Y. The Mellin-edge quantisation for corner operators. Complex Anal Oper Theory. 2014;8(4):803–841.
   Web of Science ®Google Scholar
• Habal N, Schulze B-W. Mellin quantisation in corner operators: operator theory, advances and applications. In: Karlovich YI, et al., editors. “Operator theory, pseudo-differential equations, and mathematical physics". The Vladimir Rabinovich Anniversary. Vol. 228. Basel: Birkhäuser; 2013. p. 151–172.
   Google Scholar
• Krainer T. Parabolic pseudodifferential operators and long-time asymptotics of solutions. [Ph.D. thesis]. University of Potsdam, 2000.
   Google Scholar