"Proceedings grew out of lectures given at the fifteenth Summer Mathematical Institute of the American Mathematical Society."

Includes bibliographical references.

Existence theorems for nonlinear partial differential equations / Felix E. Browder -- A fixed point theorem for holomorphic mappings / Clifford J. Earle and Richard S. Hamilton -- Variation integrals in fiber bundles / Halld�or I. El�iasson -- Note on the differentiability of nonlinear semigroups / Tosio Kato -- Scattering theory as the analysis of elliptic fixed points / I. E. Segal -- Topology of elliptic operators / Michael F. Atiyah -- Eigenvalues of the Laplacian / Marcel Berger -- On a topological obstruction to integrability / Raoul Bott -- An asymptotic expansion for the heat equation / Peter Greiner -- An analytic proof of the classical Riemann-Roch theorem / Takeshi Kotake -- The eigenvalues of the Laplace operator for the exterior problem / Peter D. Lax and Ralph S. Phillips -- Pseudo-differential operators / L. Nirenberg -- On the calculus of symbols for pseudo-differential operators / Bent E. Petersen -- Une remarque sur les op�erateurs int�egraux / Weishu Shih -- A differential geometric approach to characteristics / Robert B. Gardner -- Formal theory of overdetermined linear partial differential equations. / Hubert Goldschmidt -- Algebraic results on characteristics / V. W. Guillemin -- On estimate $\| (A(D) + B(x)) u(x) \| \ge c \|u\|$ / Masatake Kuranishi -- Quantization of the de Rham complex / I. E. Segal -- Uncoupled overdetermined systems / D. C. Spencer -- Triangular operators / W. J. Sweeney -- Regularity theorems for solutions of elliptic polynomial equations / K. Uhlenbeck -- Problems in nonlinear hyperbolic equations / J. Glimm and P. Lax -- Hamiltonian mechanics on Lie groups and hydrodynamics / J. Marsden and R. Abraham --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.