William J. Hrusa

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All published works

Action	Title	Year	Authors
+	Global Existence of Classical Solutions to the Equations of Motion for Materials with Fading Memory	2020	William J. Hrusa
+	Lavrentiev's phenomenon for totally unconstrained variational problems in one dimension	2000	Keshav M. Dani William J. Hrusa Victor J. Mizel
+	On perturbations of differentiable semigroups	1997	Bogdan D. Doytchinov William J. Hrusa Stephen J. Watson
+	On Formation of Singularities in One-Dimensional Nonlinear Thermoelasticity	1991	William J. Hrusa Salim A. Messaoudi
+	On formation of singularities in one-dimensional nonlinear thermoelasticity	1990	William J. Hrusa Salim A. Messaoudi
+ PDF Chat	On smooth solutions of the Cauchy problem in one-dimensional nonlinear thermoelasticity	1989	William J. Hrusa Michael A. Tarabek
+	Initial Value Problems in Viscoelasticity	1988	William J. Hrusa John A. Nohel Michael Renardy
+	Propagation of Discontinuities in Linear Viscoelasticity	1987	Michael Renardy William J. Hrusa
+	Stability of Equilibrium for a Nonlinear Hyperbolic System Describing Heat Propagation by Second Sound in Solids	1987	Bernard D. Coleman William J. Hrusa D. R. J. Owen
+	Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids	1986	Bernard D. Coleman William J. Hrusa D. R. J. Owen
+	Energy Methods for Quasilinear Hyperbolic Initial-Boundary Value Problems. Applications to Elastodynamics	1986	Constantine M. Dafermos William J. Hrusa
+	The Cauchy problem in one-dimensional nonlinear viscoelasticity	1985	William J. Hrusa John A. Nohel
+	Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics	1985	Constantine M. Dafermos William J. Hrusa
+	On a Nonlinear Hyperbolic Integrodifferential Equation with a Singular Kernel	1985	William J. Hrusa Michael Renardy
+	Global Existence and Asymptotic Stability for a Semilinear Hyperbolic Volterra Equation with Large Initial Data	1985	William J. Hrusa
+ PDF Chat	On wave propagation in linear viscoelasticity	1985	William J. Hrusa Michael Renardy
+	Global existence and asymptotics in one-dimensional nonlinear viscoelasticity	1984	William J. Hrusa John A. Nohel
+	A nonlinear functional differential equation in Banach space with applications to materials with fading memory	1983	William J. Hrusa
+	A Nonlinear Functional Differential Equation in Banach Space with Applications to Materials with Fading Memory.	1982	William J. Hrusa
+	Elementary Characterization of Classical Minima	1981	William J. Hrusa John L. Troutman

Common Coauthors

Coauthor	Papers Together
Michael Renardy	4
John A. Nohel	3
Constantine M. Dafermos	2
Salim A. Messaoudi	2
D. R. J. Owen	2
Bernard D. Coleman	2
Victor J. Mizel	1
Keshav M. Dani	1
Michael A. Tarabek	1
Bogdan D. Doytchinov	1
Stephen J. Watson	1
John L. Troutman	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Existence and nonexistence in the large of solutions of quasilinear wave equations	1967	R. C. MacCamy V. J. Mizel	10
+	Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations	1964	Peter D. Lax	9
+	Energy methods for nonlinear hyperbolic volterra integrodifferential equations	1979	Constantine M. Dafermos John A. Nohel	8
+	On a Nonlinear Hyperbolic Volterra Equation	1980	Olof J. Staffans	7
+ PDF Chat	Global Existence and Asymptotics of the Solutions of the Second-Order Quasilinear Hyperbolic Equations with the First-Order Dissipation	1977	Akitaka Matsumura	5
+ PDF Chat	Breakdown of smooth solutions in dissipative nonlinear hyperbolic equations	1982	Harumi Hattori	5
+	Global existence and asymptotics in one-dimensional nonlinear viscoelasticity	1984	William J. Hrusa John A. Nohel	4
+ PDF Chat	An integro-differential equation with application in heat flow	1977	R. C. MacCamy	4
+	The Riemann problem for the system $$u_1 + \sigma _x = 0{\text{ and }}(\sigma - f(u))_t + (\sigma - uf(u))$$	1983	J. M. Greenberg Ling Hsiao	3
+	Frequency domain methods for Volterra equations	1976	John A. Nohel Daniel F. Shea	3
+ PDF Chat	Development of singularities in solutions of the equations of nonlinear thermoelasticity	1986	Constantine M. Dafermos Ling Hsiao	3
+	Formation of Singularities for a Conservation Law with Memory	1985	Reza Malek‐Madani John A. Nohel	3
+	Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional non-linear thermoelasticity	1981	Marshall Slemrod	3
+ PDF Chat	Local analyticity in weighted 𝐿¹-spaces and applications to stability problems for Volterra equations	1982	G. S. Jordan Olof J. Staffans Robert L. Wheeler	3
+	A model Riemann problem for volterra equations	1983	R. C. MacCamy	3
+ PDF Chat	On wave propagation in linear viscoelasticity	1985	William J. Hrusa Michael Renardy	2
+	The Cauchy problem in one-dimensional nonlinear viscoelasticity	1985	William J. Hrusa John A. Nohel	2
+	A nonlinear functional differential equation in Banach space with applications to materials with fading memory	1983	William J. Hrusa	2
+	The Cauchy problem for quasi-linear symmetric hyperbolic systems	1975	Tosio Kato	2
+	Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics	1985	Constantine M. Dafermos William J. Hrusa	2
+	A general theory of heat conduction with finite wave speeds	1968	Morton E. Gurtin A. C. Pipkin	2
+	The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity	1969	Constantine M. Dafermos	2
+	Lax–Wendroff Methods for Hyperbolic History Value Problems	1984	Peter A. Markowich Michael Renardy	2
+ PDF Chat	On smooth solutions of the Cauchy problem in one-dimensional nonlinear thermoelasticity	1989	William J. Hrusa Michael A. Tarabek	2
+	Local Analyticity in Weighted L 1 -Spaces and Applications to Stability Problems for Volterra Equations	1982	G. S. Jordan Olof J. Staffans Robert L. Wheeler	2
+	A Nonlinear Volterra Integrodifferential Equation Describing the Stretching of Polymeric Liquids	1983	Peter A. Markowich Michael Renardy	1
+ PDF Chat	Regularity properties of solutions to the basic problem in the calculus of variations	1985	Francis Clarke Richard Vinter	1
+	A class of quasilinear parabolic equations with infinite delay and application to a problem of viscoelasticity	1983	Michael Renardy	1
+ PDF Chat	On continuity of functions with values in various Banach spaces	1966	Walter A. Strauss	1
+	A class of hyperbolic volterra integrodifferential equations	1984	Melvin L. Heard	1
+	Functional Analysis and Semi-groups	1996	Einar Hille Robert A. Phillips	1
+	A Model Rienann Problem for Volterra Equations	2023	J. M. Greenberg Ling Hsiao R. C. MacCamy	1
+ PDF Chat	Perturbation theory for semi-groups of linear operators	1953	Ralph S. Phillips	1
+	Some considerations to the fundamental theory of infinite delay equations	1980	Franz Kappel Wilhelm Schappacher	1
+	Nonexistence of Smooth Solutions for Shearing Flows in a Nonlinear Viscoelastic Fluid	1982	Gustaf Gripenberg	1
+	Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity	1977	Thomas J.R. Hughes Tosio Kato Jerrold E. Marsden	1
+	On the stability of differentiability of semigroups	1995	Michael Renardy	1
+	Volterra and Functional Differential Equations	2023	Kenneth B. Hannsgen	1
+	Remarks on semilinear partial functional-differential equations with infinite delay	1981	Konrad Schumacher	1
+	Global Existence and Asymptotic Stability for a Semilinear Hyperbolic Volterra Equation with Large Initial Data	1985	William J. Hrusa	1
+	Multiple Integrals in the Calculus of Variations	1966	Charles B. Morrey	1
+	Problèmes aux limites non homogènes et applications	1968	Enrico Magenes Jacques Louis Lions	1
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	1
+	One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation	1985	J. M. Ball Victor J. Mizel	1
+	A survey of minimal surfaces	1969	Robert Osserman	1
+	A local existence and uniqueness theorem for a K-BKZ-fluid	1985	Michael Renardy	1
+	Gap Phenomenon for Some Autonomous Functionals	1994	Giovanni Alberti Pietro Majer	1
+ PDF Chat	Existence, Uniqueness and Stability of Solutions of the Equation $u_{tt} = \frac{\partial}{\partial x}(\sigma (u_x) + \lambda (u_x)u_{tt})	1970	R. C. MacCamy	1
+ PDF Chat	On The Lavrentiev Phenomenon	1987	Philip D. Loewen	1
+	Quasi-linear equations of evolution, with applications to partial differential equations	1975	Tosio Kato	1