Sjöstrand, Johannes Propagation of analytic singularities for second order Dirichlet problems. II. (English) Zbl 0534.35030 Commun. Partial Differ. Equations 5, 187-207 (1980). Reviewer: R.Johnson MSC: 35J15 35A20 58J47 35A30 58J40 PDFBibTeX XMLCite \textit{J. Sjöstrand}, Commun. Partial Differ. Equations 5, 187--207 (1980; Zbl 0534.35030) Full Text: DOI
Trèves, François Remarks about certain first-order linear PDE in two variables. (English) Zbl 0523.35012 Commun. Partial Differ. Equations 5, 381-425 (1980). MSC: 35F05 35A07 PDFBibTeX XMLCite \textit{F. Trèves}, Commun. Partial Differ. Equations 5, 381--425 (1980; Zbl 0523.35012) Full Text: DOI
Trèves, François Remarks about certain first-order linear PDE in two variables. (English) Zbl 0519.35008 Commun. Partial Differ. Equations 5, 381-425 (1980). MSC: 35F05 35A10 PDFBibTeX XMLCite \textit{F. Trèves}, Commun. Partial Differ. Equations 5, 381--425 (1980; Zbl 0519.35008) Full Text: DOI
Nishitani, Tatsuo The Cauchy problem for weakly hyperbolic equations of second order. (English) Zbl 0497.35053 Commun. Partial Differ. Equations 5, 1273-1296 (1980). MSC: 35L15 35L30 PDFBibTeX XMLCite \textit{T. Nishitani}, Commun. Partial Differ. Equations 5, 1273--1296 (1980; Zbl 0497.35053) Full Text: DOI
Geller, Daryl Local solvability and homogeneous distributions on the Heisenberg group. (English) Zbl 0488.22020 Commun. Partial Differ. Equations 5, 475-560 (1980). MSC: 22E25 47F05 35A07 35B65 PDFBibTeX XMLCite \textit{D. Geller}, Commun. Partial Differ. Equations 5, 475--560 (1980; Zbl 0488.22020) Full Text: DOI
Yoshikawa, Atsushi Parametrices for a class of effectively hyperbolic operators. (English) Zbl 0483.35048 Commun. Partial Differ. Equations 5, 1073-1151 (1980). MSC: 35L15 35S10 PDFBibTeX XMLCite \textit{A. Yoshikawa}, Commun. Partial Differ. Equations 5, 1073--1151 (1980; Zbl 0483.35048) Full Text: DOI
Hess, Peter; Kato, Tosio On some linear and nonlinear eigenvalue problems with an indefinite weight function. (English) Zbl 0477.35075 Commun. Partial Differ. Equations 5, 999-1030 (1980). MSC: 35P30 35J25 35J65 35J20 35P15 47H07 PDFBibTeX XMLCite \textit{P. Hess} and \textit{T. Kato}, Commun. Partial Differ. Equations 5, 999--1030 (1980; Zbl 0477.35075) Full Text: DOI
Schonbek, Maria Elena Decay of solutions to parabolic conservation laws. (English) Zbl 0476.35012 Commun. Partial Differ. Equations 5, 449-473 (1980). MSC: 35B40 35K55 35B45 PDFBibTeX XMLCite \textit{M. E. Schonbek}, Commun. Partial Differ. Equations 5, 449--473 (1980; Zbl 0476.35012) Full Text: DOI
Eskin, Michael Elliptic overdetermined system of two equations in a smooth three- dimensional domain. (English) Zbl 0463.35016 Commun. Partial Differ. Equations 5, 935-968 (1980). MSC: 35F15 35N05 35J99 35S99 PDFBibTeX XMLCite \textit{M. Eskin}, Commun. Partial Differ. Equations 5, 935--968 (1980; Zbl 0463.35016) Full Text: DOI
Rothschild, Linda Preiss Nonexistence of optimal \(L^ 2\) estimates for the boundary Laplacian operator on certain weakly pseudoconvex domains. (English) Zbl 0459.35024 Commun. Partial Differ. Equations 5, 897-912 (1980). MSC: 35H10 35J05 PDFBibTeX XMLCite \textit{L. P. Rothschild}, Commun. Partial Differ. Equations 5, 897--912 (1980; Zbl 0459.35024) Full Text: DOI
Sjöstrand, Johannes Propagation of analytic singularities for second order Dirichlet problems. (English) Zbl 0458.35026 Commun. Partial Differ. Equations 5, 41-94 (1980). MSC: 35J15 58J47 58J40 35S99 PDFBibTeX XMLCite \textit{J. Sjöstrand}, Commun. Partial Differ. Equations 5, 41--94 (1980; Zbl 0458.35026) Full Text: DOI
Miller, Kenneth G. Parametrices for hypoelliptic operators on step two nilpotent Lie groups. (English) Zbl 0457.58019 Commun. Partial Differ. Equations 5, 1153-1184 (1980). MSC: 58J40 58J70 65H10 43A80 22E25 PDFBibTeX XMLCite \textit{K. G. Miller}, Commun. Partial Differ. Equations 5, 1153--1184 (1980; Zbl 0457.58019) Full Text: DOI
Donaldson, Thomas K. Representation theorems of Friedman type for invariant elliptic operators on G-manifolds. (English) Zbl 0456.58032 Commun. Partial Differ. Equations 5, 1185-1249 (1980). MSC: 58J70 58J50 57S15 35C15 35J70 58J10 PDFBibTeX XMLCite \textit{T. K. Donaldson}, Commun. Partial Differ. Equations 5, 1185--1249 (1980; Zbl 0456.58032) Full Text: DOI
Mignot, Fulbert; Puel, Jean-Pierre Sur une classe de problèmes non linéaires avec non linearite positive, croissante, convexe. (French) Zbl 0456.35034 Commun. Partial Differ. Equations 5, 791-836 (1980). MSC: 35J65 34B15 35B45 PDFBibTeX XMLCite \textit{F. Mignot} and \textit{J.-P. Puel}, Commun. Partial Differ. Equations 5, 791--836 (1980; Zbl 0456.35034) Full Text: DOI
Caffarelli, Luis A.; Friedman, Avner A free boundary problem associated with a semilinear parabolic equation. (English) Zbl 0454.35088 Commun. Partial Differ. Equations 5, 969-981 (1980). MSC: 35R35 35K99 35B37 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{A. Friedman}, Commun. Partial Differ. Equations 5, 969--981 (1980; Zbl 0454.35088) Full Text: DOI
Donnelly, Harold Asymptotic expansions for the solutions of certain nonlinear parabolic problems. II. (English) Zbl 0454.35051 Commun. Partial Differ. Equations 5, 1251-1271 (1980). MSC: 35K55 35C20 PDFBibTeX XMLCite \textit{H. Donnelly}, Commun. Partial Differ. Equations 5, 1251--1271 (1980; Zbl 0454.35051) Full Text: DOI
Helffer, B.; Mattera, Cl. Analyticite et iterés reduits d’un système de champs de vecteurs. (French) Zbl 0452.35123 Commun. Partial Differ. Equations 5, 1065-1072 (1980). MSC: 35S99 58J47 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{Cl. Mattera}, Commun. Partial Differ. Equations 5, 1065--1072 (1980; Zbl 0452.35123) Full Text: DOI
Uryu, Hitoshi The Cauchy problem for weakly hyperbolic equations. (English) Zbl 0452.35078 Commun. Partial Differ. Equations 5, 23-40 (1980). MSC: 35L30 35B30 PDFBibTeX XMLCite \textit{H. Uryu}, Commun. Partial Differ. Equations 5, 23--40 (1980; Zbl 0452.35078) Full Text: DOI
Gu, Chaohao On the \(C^{\infty}\) solutions of a class of linear mixed partial differential equations. (English) Zbl 0448.35069 Commun. Partial Differ. Equations 5, 985-997 (1980). MSC: 35M99 35B30 35A05 PDFBibTeX XMLCite \textit{C. Gu}, Commun. Partial Differ. Equations 5, 985--997 (1980; Zbl 0448.35069) Full Text: DOI
McOwen, Robert C. On elliptic operators in \(R^n\). (English) Zbl 0448.35042 Commun. Partial Differ. Equations 5, 913-933 (1980). MSC: 35J45 35J30 35G05 35R20 46E35 47A53 PDFBibTeX XMLCite \textit{R. C. McOwen}, Commun. Partial Differ. Equations 5, 913--933 (1980; Zbl 0448.35042) Full Text: DOI
Schulenberger, John R. Isomorphisms of hyperbolic systems and the aether. (English) Zbl 0447.35061 Commun. Partial Differ. Equations 5, 109-148 (1980). MSC: 35L99 83C99 PDFBibTeX XMLCite \textit{J. R. Schulenberger}, Commun. Partial Differ. Equations 5, 109--148 (1980; Zbl 0447.35061) Full Text: DOI
Wakabayashi, Seiichiro A necessary condition for the mixed problem to be \(C^\infty\) well-posed. (English) Zbl 0445.35084 Commun. Partial Differ. Equations 5, 1031-1064 (1980). MSC: 35M99 35A99 PDFBibTeX XMLCite \textit{S. Wakabayashi}, Commun. Partial Differ. Equations 5, 1031--1064 (1980; Zbl 0445.35084) Full Text: DOI
Nakamura, Gen; Uryu, Hitoshi Parametrix of certain weakly hyperbolic operators. (English) Zbl 0445.35083 Commun. Partial Differ. Equations 5, 837-896 (1980). MSC: 35L99 35S99 47F05 47Gxx PDFBibTeX XMLCite \textit{G. Nakamura} and \textit{H. Uryu}, Commun. Partial Differ. Equations 5, 837--896 (1980; Zbl 0445.35083) Full Text: DOI
Agemi, Rentaro Mixed problems for the linearized shallow water equations. (English) Zbl 0445.35075 Commun. Partial Differ. Equations 5, 645-681 (1980). MSC: 35L50 35A05 76B15 PDFBibTeX XMLCite \textit{R. Agemi}, Commun. Partial Differ. Equations 5, 645--681 (1980; Zbl 0445.35075) Full Text: DOI
Triebel, Hans On the spaces \(F^s_{p,q}\) of Hardy-Sobolev type: Equivalent quasi-norms, multipliers, spaces on domains, regular elliptic boundary value problems. (English) Zbl 0444.46024 Commun. Partial Differ. Equations 5, 245-291 (1980). MSC: 46E35 35J40 PDFBibTeX XMLCite \textit{H. Triebel}, Commun. Partial Differ. Equations 5, 245--291 (1980; Zbl 0444.46024) Full Text: DOI
Chang, Kung-ching Remarks on free boundary problems for the flux equations in plasma physics. (English) Zbl 0444.35039 Commun. Partial Differ. Equations 5, 741-751 (1980). MSC: 35J65 47J05 35R35 35B32 54C60 35P30 PDFBibTeX XMLCite \textit{K.-c. Chang}, Commun. Partial Differ. Equations 5, 741--751 (1980; Zbl 0444.35039) Full Text: DOI
Wong, M. W. On some exotic pseudo-differential operators. (English) Zbl 0442.35068 Commun. Partial Differ. Equations 5, 733-739 (1980). MSC: 35S05 35P05 47Gxx PDFBibTeX XMLCite \textit{M. W. Wong}, Commun. Partial Differ. Equations 5, 733--739 (1980; Zbl 0442.35068) Full Text: DOI
Godin, Paul A class of pseudo-differential operators with double characteristics which do not propagate singularities. (English) Zbl 0438.35066 Commun. Partial Differ. Equations 5, 683-731 (1980). MSC: 35S05 35A30 58J47 PDFBibTeX XMLCite \textit{P. Godin}, Commun. Partial Differ. Equations 5, 683--731 (1980; Zbl 0438.35066) Full Text: DOI
Chazarain, J. Spectre d’un Hamiltonian quantique et mecanique classique. (English) Zbl 0437.70014 Commun. Partial Differ. Equations 5, 595-644 (1980). MSC: 70G99 81Q99 PDFBibTeX XMLCite \textit{J. Chazarain}, Commun. Partial Differ. Equations 5, 595--644 (1980; Zbl 0437.70014) Full Text: DOI
Brézis, Haïm; Wainger, Stephen A note on limiting cases of Sobolev embeddings and convolution inequalities. (English) Zbl 0437.35071 Commun. Partial Differ. Equations 5, 773-789 (1980). MSC: 35R45 46E35 PDFBibTeX XMLCite \textit{H. Brézis} and \textit{S. Wainger}, Commun. Partial Differ. Equations 5, 773--789 (1980; Zbl 0437.35071) Full Text: DOI
Caffarelli, Luis A. Compactness methods in free boundary problems. (English) Zbl 0437.35070 Commun. Partial Differ. Equations 5, 427-448 (1980). MSC: 35R35 35A25 PDFBibTeX XMLCite \textit{L. A. Caffarelli}, Commun. Partial Differ. Equations 5, 427--448 (1980; Zbl 0437.35070) Full Text: DOI
Beirão da Veiga, Hugo; Valli, Alberto Existence of \(C\infty\) solutions of the Euler equations for non- homogeneous fluids. (English) Zbl 0437.35059 Commun. Partial Differ. Equations 5, 95-107 (1980). MSC: 35Q30 76D05 35A05 35B65 PDFBibTeX XMLCite \textit{H. Beirão da Veiga} and \textit{A. Valli}, Commun. Partial Differ. Equations 5, 95--107 (1980; Zbl 0437.35059) Full Text: DOI
Nosmas, J. C. Paramètrix du problème de Cauchy pour une classe de systèmes hyperboliques symetrisables à caractéristiques involutives de multiplicité variable. (French) Zbl 0437.35045 Commun. Partial Differ. Equations 5, 1-22 (1980). MSC: 35L45 35L30 35S15 PDFBibTeX XMLCite \textit{J. C. Nosmas}, Commun. Partial Differ. Equations 5, 1--22 (1980; Zbl 0437.35045) Full Text: DOI
Yamasaki, A. On a necessary condition for the local solvability of pseudo-differential operators with double characteristics. (English) Zbl 0436.35080 Commun. Partial Differ. Equations 5, 209-224 (1980). MSC: 35S05 35A07 PDFBibTeX XMLCite \textit{A. Yamasaki}, Commun. Partial Differ. Equations 5, 209--224 (1980; Zbl 0436.35080) Full Text: DOI
Modica, Luciano A Runge theorem for overdetermined systems with constant coefficients. (English) Zbl 0436.35062 Commun. Partial Differ. Equations 5, 149-185 (1980). MSC: 35N05 35A35 PDFBibTeX XMLCite \textit{L. Modica}, Commun. Partial Differ. Equations 5, 149--185 (1980; Zbl 0436.35062) Full Text: DOI
Maire, H. M. Hypoelliptic overdetermined systems of partial differential equations. (English) Zbl 0436.35024 Commun. Partial Differ. Equations 5, 331-380 (1980). MSC: 35H10 35S05 35N99 PDFBibTeX XMLCite \textit{H. M. Maire}, Commun. Partial Differ. Equations 5, 331--380 (1980; Zbl 0436.35024) Full Text: DOI
Petkov, V. M. High frequency asymptotics of the scattering amplitude for non-convex bodies. (English) Zbl 0435.35065 Commun. Partial Differ. Equations 5, 293-329 (1980). MSC: 35P25 47A40 78A45 58J40 PDFBibTeX XMLCite \textit{V. M. Petkov}, Commun. Partial Differ. Equations 5, 293--329 (1980; Zbl 0435.35065) Full Text: DOI
Lions, Pierre-Louis Some problems related to the Bellman-Dirichlet equation for two operators. (English) Zbl 0435.35035 Commun. Partial Differ. Equations 5, 753-771 (1980). MSC: 35J60 35J70 35K55 35M99 35B37 PDFBibTeX XMLCite \textit{P.-L. Lions}, Commun. Partial Differ. Equations 5, 753--771 (1980; Zbl 0435.35035) Full Text: DOI
Zachmanoglou, E. C. Manifolds with arbitrary submanifolds of nonanalyticity of solutions of linear PDE’s. (English) Zbl 0435.35003 Commun. Partial Differ. Equations 5, 225-243 (1980). MSC: 35A05 35F05 35G05 65H10 PDFBibTeX XMLCite \textit{E. C. Zachmanoglou}, Commun. Partial Differ. Equations 5, 225--243 (1980; Zbl 0435.35003) Full Text: DOI
Parenti, C.; Rodino, L. On general pseudodifferential operators. (English) Zbl 0433.35075 Commun. Partial Differ. Equations 5, 561-594 (1980). MSC: 35S05 65H10 PDFBibTeX XMLCite \textit{C. Parenti} and \textit{L. Rodino}, Commun. Partial Differ. Equations 5, 561--594 (1980; Zbl 0433.35075) Full Text: DOI