## Partial differential equations: proceedings of a symposium dedicated to Academician S. L. SobolevSergeĭ Lʹvovich Sobolev, American Mathematical Society, Rafaelʹ Aramovich Aleksandri︠a︡n, United States. Office of Naval Research Translations of articles on mathematics appearing in various Russian mathematical serials. |

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### Contents

M Application of the methods of the mathematical theory | 54 |

Bicadze A V The theory of non Fredholm elliptic boundary value | 64 |

I SobolevSlobodeckil spaces of variable order with | 104 |

Copyright | |

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Akad Aleksandrjan Amer analogous approximation arbitrary boundary conditions boundary problems boundary value problems bounded Cauchy problem classes of functions compact support connected considered constant coefficients constructed convergence corresponding defined denote depend derivatives DEWDAs difference schemes differentiable functions differential operators Dirichlet problem Dokl domain G eigenfunctions eigenvalues elliptic equations elliptic operator English transl estimate example exists finite formula Fourier series function spaces Hilbert space homogeneous Il'in imbedding theorems inequality inverse investigation iterative kernel Laplace operator linear Lizorkin manifold mathematical physics metric Moscow Nauk SSSR nonlinear norm obtained one-dimensional papers parabolic equations parameter partial differential equations polynomial properties proved question Russian S. L. Sobolev satisfies second order selfadjoint selfadjoint operator Sibirsk Sobolev spaces solution of problem solvable extension solving Soviet Math spectral function spectrum stability sufficiently smooth summable Suppose theory tion Trudy Mat variables vector weighted spaces zero