Geodesic
A~method for representing solutions of the Cauchy problem for linear partial differential equations
Sbornik. Mathematics, Tome 209 (2018) no. 2, pp. 222-240

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A method for solving the Cauchy problem for certain types of linear partial differential equations and pseudo-differential equations is proposed. A class of functions is specified for which the existence and uniqueness of solutions is proved. Applications of the results in applied problems are considered. Bibliography: 8 titles.
Keywords: Hopf equation, resolving operator, generalized functions with compact support.
Mots-clés : Fourier transform 
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     author = {V. I. Gishlarkaev},
     title = {A~method for representing solutions of the {Cauchy} problem for linear partial differential equations},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2018_209_2_a4/}
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V. I. Gishlarkaev. A~method for representing solutions of the Cauchy problem for linear partial differential equations. Sbornik. Mathematics, Tome 209 (2018) no. 2, pp. 222-240. http://geodesic.mathdoc.fr/item/SM_2018_209_2_a4/