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Lectures on partial differential equations. Delivered at the Indian Institute of Science, Bangalore. Notes by K. T. Joseph and S. Thangavelu. (English) Zbl 0529.35005


MSC:

35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations
35E05 Fundamental solutions to PDEs and systems of PDEs with constant coefficients
35A22 Transform methods (e.g., integral transforms) applied to PDEs
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
35G05 Linear higher-order PDEs
35S05 Pseudodifferential operators as generalizations of partial differential operators
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
35B45 A priori estimates in context of PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35K05 Heat equation
35L05 Wave equation