Boundary-value problems for partial differential equations in non-smooth domains. (English) Zbl 0548.35018

Kondrat’ev, V. A.; Olejnik, O. A.

Russ. Math. Surv. 38, No. 2, 1-86 (1983).

Translation from Usp. Mat. Nauk 38, No.2(230), 3-76 (Russian) (1983; Zbl 0523.35010).

MSC:

35D10	Regularity of generalized solutions of PDE (MSC2000)
35B40	Asymptotic behavior of solutions to PDEs
35G15	Boundary value problems for linear higher-order PDEs
35J25	Boundary value problems for second-order elliptic equations
35J67	Boundary values of solutions to elliptic equations and elliptic systems
35K20	Initial-boundary value problems for second-order parabolic equations
35L20	Initial-boundary value problems for second-order hyperbolic equations
46E35	Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems

Keywords:

boundary value problems; non-smooth domains; survey; irregular boundary points; asymptotical behavior of solutions near conical points

Citations:

Zbl 0523.35010