## Differential Equation Theory |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

ON OBTAINING A PRIORI ESTIMATES | 1 |

INITIAL AND BOUNDARY VALUE PROBLEMS | 25 |

CAUCHY PROBLEMS FOR EQUATIONS | 33 |

Copyright | |

13 other sections not shown

### Common terms and phrases

AH CCCP Assume belongs boundary conditions boundary value problem bounded Cauchy problem coefficients conditions of Theorem const constant convergence convex sets correct solvability defined definition denote derivatives differential operators domain eigenvalues elliptic operator English transl equality equation 0.1 example exists a number finite formulate function gradient constraints Hence Hermitian Hermitian forms holds hyperbolic initial data initial-boundary instability index integral Lemma Let us consider linear Lp(R+ Lp(Rn Math mathematical physics matrix Mellin transformation mixed problem Moscow Nauka nonlinear norm Novosibirsk obstacle problem obtain orthogonal parabolic equations partial differential equations periodic solutions priori estimates properties proved quasilinear respect Russian second order selfadjoint smooth Sobolev space solution to problem space variables stability steady state solution subspace theory tions type equations unilateral problem unique solution variational inequality vector wave equation yields Zelenjak zero