Komech, A. I. Linear partial differential equations with constant coefficients. (English. Russian original) Zbl 0805.35001 Partial differential equations II. Encycl. Math. Sci. 31, 121-255 (1994); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 31, 127-261 (1988). See the review in Zbl 0686.35003.For the entire collection see [Zbl 0804.00011]. Cited in 1 ReviewCited in 11 Documents MSC: 35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations 35E20 General theory of PDEs and systems of PDEs with constant coefficients 35E05 Fundamental solutions to PDEs and systems of PDEs with constant coefficients 42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 35B65 Smoothness and regularity of solutions to PDEs 35L10 Second-order hyperbolic equations Keywords:distribution; Paley-Wiener theory; existence; characteristics; bicharacteristics; wave fronts; Poisson kernels; Lacunas theory Citations:Zbl 0686.35003 PDFBibTeX XMLCite \textit{A. I. Komech}, Encycl. Math. Sci. 31, 121--255 (1988; Zbl 0805.35001); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 31, 127--261 (1988)