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Definition 1. A differential operator is called reducible if it can be written as a product of linear factors Li = αi D + βi D + γi, i = 1,2,ททท,N, where. N = is the order of.

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- AMS :: Proceedings of the American Mathematical Society
- PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
- Linear differential equation

Skip to main Skip to similar items. HathiTrust Digital Library. Search full-text index. Available Indexes Full-text Catalog Full view only. Advanced full-text search Advanced catalog search Search tips. Search HathiTrust. Tools Cite this Export citation file. Everard Mott Published Author Treves, J. Published Author Nur, Hussain Sayid. Linear partial differential equations. Linear hyperbolic partial differential equations with constant coefficients. Sharp fronts of paired oscillatory integrals. Kyoto Univ. Fourier transforms of rapidly growing functions and the question of uniqueness of solution of the Cauchy problem.

Nauk 8 , No. Generalized Functions. Generalized Functions and Operations on Them. Moscow: Fizmatgiz. Spaces of Test and Generalized Functions. Some Questions of the Theory of Differential Equations.

Gorin, E. Asymptotic properties of polynomials and algebraic functions in several variables. Grushin, V. On Sommerfeld type conditions for a class of partial differential equations.

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The extension of smoothness of solutions of differential equations of principal type. Gunning, R. Analytic Functions of Several Complex Variables. Englewood Cliffs, N. Hadamard, J. Paris: Hermann, Zbl.

## AMS :: Proceedings of the American Mathematical Society

On the division of distributions by polynomials. Linear Partial Differential Operators. Amsterdam, London: North Holland Publ. I and II.

III and IV. Komech, A. Elliptic differential equations with constant coefficients in a cone. Krejn, S. Linear Differential Equations in Banach Space. Leray, J. Hyperbolic Differential Equations. Princeton: Inst. Study, Zbl.

## PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS

Lojasiewicz, S. Lopatinskij, Ya. On a device of reducing boundary-value problems for a system of elliptic differential equations to regular integral equations. Malgrange, B. CR Acad. Paris , No. Merzon, A. On the solvability of differential equations with constant coefficients in a cone.

Mikhlin, S. Linear Partial Differential Equations. Moscow: Vysshaya Shkola Google Scholar. Nuij, W. A note on hyperbolic polynomials. Palamodov, V. On regularization and the problem of division. Linear Differential Operators with Constant Coefficients. Paley, R.

## Linear differential equation

Fourier Transforms in the Complex Domain. Colloqium Publication, Providence, R. Petrovskij, I. On the Cauchy problem in the domain of non-analytic functions.

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Nauk, 3 , — Google Scholar. On the Cauchy problem for systems of partial differential equations in the domain of non-analytic functions. On the diffusion of waves and the lacunas for hyperbolic equations. Lectures on Partial Differential Equations. Reed, M. Methods of Modern Mathematical Physics. New York: Academic Press, Zbl. Riesz, M. Rudin, W. Principles of Mathematical Analysis. Schwartz, L. Shilov, G.

Mathematical Analysis. Second Special Course. Generalized Functions and Partial Differential Equations. New York: Gordon and Breach, Zbl. Shubin, M. Pseudodifferential Operators and Spectral Theory. Sobolev, S.

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Applications of Functional Analysis in Mathematical Physics. Soc, , Zbl. Tikhonov, A. Equations of Mathematical Physics. Titchmarsh, E. Introduction to the Theory of Fourier Integrals. Rio de Janeiro: Notas de Mathematica, No. Vajnberg, B. The principles of radiation, limiting absorption and limiting amplitude in the general theory of partial differential equations.