## Distributions and Nonlinear Partial Differential Equations |

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according admissible property algebras containing Applications approach Assume Banach Spaces called chap chapter choose compatible completed condition considered constructed containing the distributions contradicting Corollary define definition Denote derivative Dirac Dirac algebras Dirac distribution distributions easily Edited elements exists fact follows give given ideal imply inclusion invariant Lemma linear locally finite method neighbourhood nonlinear partial differential notice notion numbers obtains obviously osism partial differential equations particular piece wise smooth points polynomial potential present problem Proceedings Proof Proposition prove regular relation remains Remark representation respectively result satisfying sequences of smooth singularities smooth functions space subsets sume supp Suppose given taking into account term Theorem Theory tions transformation usual valid vanishing vector subspace VIII wave weak solution ε Ν